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Finding the Fourth Proportional to 7,614.75, 10,508.76 and 4,630.10

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Solution

The fourth proportional to 7,614.75, 10,508.76 and 4,630.10 is: 6,389.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,614.75 : 10,508.76 = 4,630.10 : x
  2. Step 2: Convert to fraction form
    7,614.75/10,508.76 = 4,630.10/x
  3. Step 3: Cross multiply
    7,614.75x = 10,508.76 × 4,630.10
  4. Step 4: Simplify right side
    7,614.75x = 48,656,609.68
  5. Step 5: Solve for x
    x = 48,656,609.68/7,614.75
  6. Step 6: Final answer
    x = 6,389.78

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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.