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Finding the Fourth Proportional to 9,753.62, 13,463.48 and 5,774.76

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Solution

The fourth proportional to 9,753.62, 13,463.48 and 5,774.76 is: 7,971.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,753.62 : 13,463.48 = 5,774.76 : x
  2. Step 2: Convert to fraction form
    9,753.62/13,463.48 = 5,774.76/x
  3. Step 3: Cross multiply
    9,753.62x = 13,463.48 × 5,774.76
  4. Step 4: Simplify right side
    9,753.62x = 77,748,380.20
  5. Step 5: Solve for x
    x = 77,748,380.20/9,753.62
  6. Step 6: Final answer
    x = 7,971.24

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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.