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Finding the Fourth Proportional to 22,957.29, 34,435.91 and 6,317.42

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Solution

The fourth proportional to 22,957.29, 34,435.91 and 6,317.42 is: 9,476.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,957.29 : 34,435.91 = 6,317.42 : x
  2. Step 2: Convert to fraction form
    22,957.29/34,435.91 = 6,317.42/x
  3. Step 3: Cross multiply
    22,957.29x = 34,435.91 × 6,317.42
  4. Step 4: Simplify right side
    22,957.29x = 217,545,950.17
  5. Step 5: Solve for x
    x = 217,545,950.17/22,957.29
  6. Step 6: Final answer
    x = 9,476.12

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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.