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Finding the Fourth Proportional to 7,657.77, 11,486.16 and 2,463.24

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Solution

The fourth proportional to 7,657.77, 11,486.16 and 2,463.24 is: 3,694.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657.77 : 11,486.16 = 2,463.24 : x
  2. Step 2: Convert to fraction form
    7,657.77/11,486.16 = 2,463.24/x
  3. Step 3: Cross multiply
    7,657.77x = 11,486.16 × 2,463.24
  4. Step 4: Simplify right side
    7,657.77x = 28,293,168.76
  5. Step 5: Solve for x
    x = 28,293,168.76/7,657.77
  6. Step 6: Final answer
    x = 3,694.70

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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.