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Finding the Fourth Proportional to 10,065.87, 13,892.68 and 7,526.37

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Solution

The fourth proportional to 10,065.87, 13,892.68 and 7,526.37 is: 10,387.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,065.87 : 13,892.68 = 7,526.37 : x
  2. Step 2: Convert to fraction form
    10,065.87/13,892.68 = 7,526.37/x
  3. Step 3: Cross multiply
    10,065.87x = 13,892.68 × 7,526.37
  4. Step 4: Simplify right side
    10,065.87x = 104,561,433.33
  5. Step 5: Solve for x
    x = 104,561,433.33/10,065.87
  6. Step 6: Final answer
    x = 10,387.72

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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.