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Finding the Fourth Proportional to 7,693.52, 10,617.05 and 4,156.73

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Solution

The fourth proportional to 7,693.52, 10,617.05 and 4,156.73 is: 5,736.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,693.52 : 10,617.05 = 4,156.73 : x
  2. Step 2: Convert to fraction form
    7,693.52/10,617.05 = 4,156.73/x
  3. Step 3: Cross multiply
    7,693.52x = 10,617.05 × 4,156.73
  4. Step 4: Simplify right side
    7,693.52x = 44,132,136.38
  5. Step 5: Solve for x
    x = 44,132,136.38/7,693.52
  6. Step 6: Final answer
    x = 5,736.28

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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.