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Finding the Fourth Proportional to 8,407.68, 12,613.14 and 4,714.08

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Solution

The fourth proportional to 8,407.68, 12,613.14 and 4,714.08 is: 7,072.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,407.68 : 12,613.14 = 4,714.08 : x
  2. Step 2: Convert to fraction form
    8,407.68/12,613.14 = 4,714.08/x
  3. Step 3: Cross multiply
    8,407.68x = 12,613.14 × 4,714.08
  4. Step 4: Simplify right side
    8,407.68x = 59,459,351.01
  5. Step 5: Solve for x
    x = 59,459,351.01/8,407.68
  6. Step 6: Final answer
    x = 7,072.03

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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.