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Finding the Fourth Proportional to 9,165.66, 12,649.24 and 5,186.76

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Solution

The fourth proportional to 9,165.66, 12,649.24 and 5,186.76 is: 7,158.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,165.66 : 12,649.24 = 5,186.76 : x
  2. Step 2: Convert to fraction form
    9,165.66/12,649.24 = 5,186.76/x
  3. Step 3: Cross multiply
    9,165.66x = 12,649.24 × 5,186.76
  4. Step 4: Simplify right side
    9,165.66x = 65,608,572.06
  5. Step 5: Solve for x
    x = 65,608,572.06/9,165.66
  6. Step 6: Final answer
    x = 7,158.08

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Half scale
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Double scale
Find fourth proportional to 9,166.66, 12,650.62 and 5,187.76
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.