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Finding the Fourth Proportional to 10,757.01, 14,845.29 and 7,165.74

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Solution

The fourth proportional to 10,757.01, 14,845.29 and 7,165.74 is: 9,889.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,757.01 : 14,845.29 = 7,165.74 : x
  2. Step 2: Convert to fraction form
    10,757.01/14,845.29 = 7,165.74/x
  3. Step 3: Cross multiply
    10,757.01x = 14,845.29 × 7,165.74
  4. Step 4: Simplify right side
    10,757.01x = 106,377,488.36
  5. Step 5: Solve for x
    x = 106,377,488.36/10,757.01
  6. Step 6: Final answer
    x = 9,889.13

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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.