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Finding the Fourth Proportional to 9,166.41, 12,649.62 and 5,187.84

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Solution

The fourth proportional to 9,166.41, 12,649.62 and 5,187.84 is: 7,159.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,166.41 : 12,649.62 = 5,187.84 : x
  2. Step 2: Convert to fraction form
    9,166.41/12,649.62 = 5,187.84/x
  3. Step 3: Cross multiply
    9,166.41x = 12,649.62 × 5,187.84
  4. Step 4: Simplify right side
    9,166.41x = 65,624,204.62
  5. Step 5: Solve for x
    x = 65,624,204.62/9,166.41
  6. Step 6: Final answer
    x = 7,159.20

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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.