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Finding the Fourth Proportional to 6,472.04, 9,705.86 and 2,523

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Solution

The fourth proportional to 6,472.04, 9,705.86 and 2,523 is: 3,783.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472.04 : 9,705.86 = 2,523 : x
  2. Step 2: Convert to fraction form
    6,472.04/9,705.86 = 2,523/x
  3. Step 3: Cross multiply
    6,472.04x = 9,705.86 × 2,523
  4. Step 4: Simplify right side
    6,472.04x = 24,487,884.78
  5. Step 5: Solve for x
    x = 24,487,884.78/6,472.04
  6. Step 6: Final answer
    x = 3,783.64

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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.