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Finding the Fourth Proportional to 7,432.62, 10,258.14 and 4,745

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Solution

The fourth proportional to 7,432.62, 10,258.14 and 4,745 is: 6,548.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,432.62 : 10,258.14 = 4,745 : x
  2. Step 2: Convert to fraction form
    7,432.62/10,258.14 = 4,745/x
  3. Step 3: Cross multiply
    7,432.62x = 10,258.14 × 4,745
  4. Step 4: Simplify right side
    7,432.62x = 48,674,874.30
  5. Step 5: Solve for x
    x = 48,674,874.30/7,432.62
  6. Step 6: Final answer
    x = 6,548.82

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1.5x scale

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.