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Finding the Fourth Proportional to 22,937, 34,411.28 and 6,521

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Solution

The fourth proportional to 22,937, 34,411.28 and 6,521 is: 9,783.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,937 : 34,411.28 = 6,521 : x
  2. Step 2: Convert to fraction form
    22,937/34,411.28 = 6,521/x
  3. Step 3: Cross multiply
    22,937x = 34,411.28 × 6,521
  4. Step 4: Simplify right side
    22,937x = 224,395,956.88
  5. Step 5: Solve for x
    x = 224,395,956.88/22,937
  6. Step 6: Final answer
    x = 9,783.14

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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.