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Finding the Fourth Proportional to 7,775.27, 10,730.07 and 4,793.07

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Solution

The fourth proportional to 7,775.27, 10,730.07 and 4,793.07 is: 6,614.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,775.27 : 10,730.07 = 4,793.07 : x
  2. Step 2: Convert to fraction form
    7,775.27/10,730.07 = 4,793.07/x
  3. Step 3: Cross multiply
    7,775.27x = 10,730.07 × 4,793.07
  4. Step 4: Simplify right side
    7,775.27x = 51,429,976.61
  5. Step 5: Solve for x
    x = 51,429,976.61/7,775.27
  6. Step 6: Final answer
    x = 6,614.56

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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.