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Finding the Fourth Proportional to 7,793.60, 10,730.32 and 7,263.68

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Solution

The fourth proportional to 7,793.60, 10,730.32 and 7,263.68 is: 10,000.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,793.60 : 10,730.32 = 7,263.68 : x
  2. Step 2: Convert to fraction form
    7,793.60/10,730.32 = 7,263.68/x
  3. Step 3: Cross multiply
    7,793.60x = 10,730.32 × 7,263.68
  4. Step 4: Simplify right side
    7,793.60x = 77,941,610.78
  5. Step 5: Solve for x
    x = 77,941,610.78/7,793.60
  6. Step 6: Final answer
    x = 10,000.72

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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.