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Finding the Fourth Proportional to 5,613.84, 7,747.14 and 3,095.88

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Solution

The fourth proportional to 5,613.84, 7,747.14 and 3,095.88 is: 4,272.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,613.84 : 7,747.14 = 3,095.88 : x
  2. Step 2: Convert to fraction form
    5,613.84/7,747.14 = 3,095.88/x
  3. Step 3: Cross multiply
    5,613.84x = 7,747.14 × 3,095.88
  4. Step 4: Simplify right side
    5,613.84x = 23,984,215.78
  5. Step 5: Solve for x
    x = 23,984,215.78/5,613.84
  6. Step 6: Final answer
    x = 4,272.34

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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.