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Finding the Fourth Proportional to 9,302.76, 13,954.12 and 2,377.24

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Solution

The fourth proportional to 9,302.76, 13,954.12 and 2,377.24 is: 3,565.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,302.76 : 13,954.12 = 2,377.24 : x
  2. Step 2: Convert to fraction form
    9,302.76/13,954.12 = 2,377.24/x
  3. Step 3: Cross multiply
    9,302.76x = 13,954.12 × 2,377.24
  4. Step 4: Simplify right side
    9,302.76x = 33,172,292.23
  5. Step 5: Solve for x
    x = 33,172,292.23/9,302.76
  6. Step 6: Final answer
    x = 3,565.85

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.