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Finding the Fourth Proportional to 7,657.48, 10,568.12 and 4,514.68

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Solution

The fourth proportional to 7,657.48, 10,568.12 and 4,514.68 is: 6,230.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657.48 : 10,568.12 = 4,514.68 : x
  2. Step 2: Convert to fraction form
    7,657.48/10,568.12 = 4,514.68/x
  3. Step 3: Cross multiply
    7,657.48x = 10,568.12 × 4,514.68
  4. Step 4: Simplify right side
    7,657.48x = 47,711,680.00
  5. Step 5: Solve for x
    x = 47,711,680.00/7,657.48
  6. Step 6: Final answer
    x = 6,230.73

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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.