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Finding the Fourth Proportional to 22,943, 34,420.28 and 6,527

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Solution

The fourth proportional to 22,943, 34,420.28 and 6,527 is: 9,792.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,943 : 34,420.28 = 6,527 : x
  2. Step 2: Convert to fraction form
    22,943/34,420.28 = 6,527/x
  3. Step 3: Cross multiply
    22,943x = 34,420.28 × 6,527
  4. Step 4: Simplify right side
    22,943x = 224,661,167.56
  5. Step 5: Solve for x
    x = 224,661,167.56/22,943
  6. Step 6: Final answer
    x = 9,792.14

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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.