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Finding the Fourth Proportional to 10,565.84, 14,581.32 and 6,374

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Solution

The fourth proportional to 10,565.84, 14,581.32 and 6,374 is: 8,796.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,565.84 : 14,581.32 = 6,374 : x
  2. Step 2: Convert to fraction form
    10,565.84/14,581.32 = 6,374/x
  3. Step 3: Cross multiply
    10,565.84x = 14,581.32 × 6,374
  4. Step 4: Simplify right side
    10,565.84x = 92,941,333.68
  5. Step 5: Solve for x
    x = 92,941,333.68/10,565.84
  6. Step 6: Final answer
    x = 8,796.40

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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.