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Finding the Fourth Proportional to 7,772.70, 11,659.05 and 5,148.30

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Solution

The fourth proportional to 7,772.70, 11,659.05 and 5,148.30 is: 7,722.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772.70 : 11,659.05 = 5,148.30 : x
  2. Step 2: Convert to fraction form
    7,772.70/11,659.05 = 5,148.30/x
  3. Step 3: Cross multiply
    7,772.70x = 11,659.05 × 5,148.30
  4. Step 4: Simplify right side
    7,772.70x = 60,024,287.12
  5. Step 5: Solve for x
    x = 60,024,287.12/7,772.70
  6. Step 6: Final answer
    x = 7,722.45

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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.