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Finding the Fourth Proportional to 27,774.71, 41,665.31 and 9,757.40

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Solution

The fourth proportional to 27,774.71, 41,665.31 and 9,757.40 is: 14,637.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,774.71 : 41,665.31 = 9,757.40 : x
  2. Step 2: Convert to fraction form
    27,774.71/41,665.31 = 9,757.40/x
  3. Step 3: Cross multiply
    27,774.71x = 41,665.31 × 9,757.40
  4. Step 4: Simplify right side
    27,774.71x = 406,545,151.17
  5. Step 5: Solve for x
    x = 406,545,151.17/27,774.71
  6. Step 6: Final answer
    x = 14,637.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.