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Finding the Fourth Proportional to 7,759.43, 10,713.38 and 7,263.71

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Solution

The fourth proportional to 7,759.43, 10,713.38 and 7,263.71 is: 10,028.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,759.43 : 10,713.38 = 7,263.71 : x
  2. Step 2: Convert to fraction form
    7,759.43/10,713.38 = 7,263.71/x
  3. Step 3: Cross multiply
    7,759.43x = 10,713.38 × 7,263.71
  4. Step 4: Simplify right side
    7,759.43x = 77,818,875.90
  5. Step 5: Solve for x
    x = 77,818,875.90/7,759.43
  6. Step 6: Final answer
    x = 10,028.94

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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.