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Finding the Fourth Proportional to 5,468.72, 8,200.02 and 1,770.08

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Solution

The fourth proportional to 5,468.72, 8,200.02 and 1,770.08 is: 2,654.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,468.72 : 8,200.02 = 1,770.08 : x
  2. Step 2: Convert to fraction form
    5,468.72/8,200.02 = 1,770.08/x
  3. Step 3: Cross multiply
    5,468.72x = 8,200.02 × 1,770.08
  4. Step 4: Simplify right side
    5,468.72x = 14,514,691.40
  5. Step 5: Solve for x
    x = 14,514,691.40/5,468.72
  6. Step 6: Final answer
    x = 2,654.13

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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.