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Finding the Fourth Proportional to 10,456.79, 14,433.17 and 6,475.64

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Solution

The fourth proportional to 10,456.79, 14,433.17 and 6,475.64 is: 8,938.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,456.79 : 14,433.17 = 6,475.64 : x
  2. Step 2: Convert to fraction form
    10,456.79/14,433.17 = 6,475.64/x
  3. Step 3: Cross multiply
    10,456.79x = 14,433.17 × 6,475.64
  4. Step 4: Simplify right side
    10,456.79x = 93,463,908.43
  5. Step 5: Solve for x
    x = 93,463,908.43/10,456.79
  6. Step 6: Final answer
    x = 8,938.11

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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.