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Finding the Fourth Proportional to 6,714.80, 10,061.40 and 5,613.20

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Solution

The fourth proportional to 6,714.80, 10,061.40 and 5,613.20 is: 8,410.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,714.80 : 10,061.40 = 5,613.20 : x
  2. Step 2: Convert to fraction form
    6,714.80/10,061.40 = 5,613.20/x
  3. Step 3: Cross multiply
    6,714.80x = 10,061.40 × 5,613.20
  4. Step 4: Simplify right side
    6,714.80x = 56,476,650.48
  5. Step 5: Solve for x
    x = 56,476,650.48/6,714.80
  6. Step 6: Final answer
    x = 8,410.77

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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.