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Finding the Fourth Proportional to 4,475.24, 6,712.86 and 1,397

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Solution

The fourth proportional to 4,475.24, 6,712.86 and 1,397 is: 2,095.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,475.24 : 6,712.86 = 1,397 : x
  2. Step 2: Convert to fraction form
    4,475.24/6,712.86 = 1,397/x
  3. Step 3: Cross multiply
    4,475.24x = 6,712.86 × 1,397
  4. Step 4: Simplify right side
    4,475.24x = 9,377,865.42
  5. Step 5: Solve for x
    x = 9,377,865.42/4,475.24
  6. Step 6: Final answer
    x = 2,095.50

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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.