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Finding the Fourth Proportional to 4,474.76, 6,712.14 and 1,397

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Solution

The fourth proportional to 4,474.76, 6,712.14 and 1,397 is: 2,095.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,474.76 : 6,712.14 = 1,397 : x
  2. Step 2: Convert to fraction form
    4,474.76/6,712.14 = 1,397/x
  3. Step 3: Cross multiply
    4,474.76x = 6,712.14 × 1,397
  4. Step 4: Simplify right side
    4,474.76x = 9,376,859.58
  5. Step 5: Solve for x
    x = 9,376,859.58/4,474.76
  6. Step 6: Final answer
    x = 2,095.50

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1.5x scale

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.