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Finding the Fourth Proportional to 5,487.70, 7,668.20 and 5,487.70

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Solution

The fourth proportional to 5,487.70, 7,668.20 and 5,487.70 is: 7,668.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,487.70 : 7,668.20 = 5,487.70 : x
  2. Step 2: Convert to fraction form
    5,487.70/7,668.20 = 5,487.70/x
  3. Step 3: Cross multiply
    5,487.70x = 7,668.20 × 5,487.70
  4. Step 4: Simplify right side
    5,487.70x = 42,080,781.14
  5. Step 5: Solve for x
    x = 42,080,781.14/5,487.70
  6. Step 6: Final answer
    x = 7,668.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.