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Finding the Fourth Proportional to 10,552.64, 15,794.62 and 7,778.20

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Solution

The fourth proportional to 10,552.64, 15,794.62 and 7,778.20 is: 11,641.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,552.64 : 15,794.62 = 7,778.20 : x
  2. Step 2: Convert to fraction form
    10,552.64/15,794.62 = 7,778.20/x
  3. Step 3: Cross multiply
    10,552.64x = 15,794.62 × 7,778.20
  4. Step 4: Simplify right side
    10,552.64x = 122,853,713.28
  5. Step 5: Solve for x
    x = 122,853,713.28/10,552.64
  6. Step 6: Final answer
    x = 11,641.99

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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.