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Finding the Fourth Proportional to 4,324.52, 5,968.14 and 2,461.52

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Solution

The fourth proportional to 4,324.52, 5,968.14 and 2,461.52 is: 3,397.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,324.52 : 5,968.14 = 2,461.52 : x
  2. Step 2: Convert to fraction form
    4,324.52/5,968.14 = 2,461.52/x
  3. Step 3: Cross multiply
    4,324.52x = 5,968.14 × 2,461.52
  4. Step 4: Simplify right side
    4,324.52x = 14,690,695.97
  5. Step 5: Solve for x
    x = 14,690,695.97/4,324.52
  6. Step 6: Final answer
    x = 3,397.07

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Half scale
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Double scale
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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.