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Finding the Fourth Proportional to 9,165.94, 12,649.01 and 4,974.19

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Solution

The fourth proportional to 9,165.94, 12,649.01 and 4,974.19 is: 6,864.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,165.94 : 12,649.01 = 4,974.19 : x
  2. Step 2: Convert to fraction form
    9,165.94/12,649.01 = 4,974.19/x
  3. Step 3: Cross multiply
    9,165.94x = 12,649.01 × 4,974.19
  4. Step 4: Simplify right side
    9,165.94x = 62,918,522.56
  5. Step 5: Solve for x
    x = 62,918,522.56/9,165.94
  6. Step 6: Final answer
    x = 6,864.38

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Half scale
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Double scale
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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.