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Finding the Fourth Proportional to 7,772.52, 10,726.10 and 4,628.68

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Solution

The fourth proportional to 7,772.52, 10,726.10 and 4,628.68 is: 6,387.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772.52 : 10,726.10 = 4,628.68 : x
  2. Step 2: Convert to fraction form
    7,772.52/10,726.10 = 4,628.68/x
  3. Step 3: Cross multiply
    7,772.52x = 10,726.10 × 4,628.68
  4. Step 4: Simplify right side
    7,772.52x = 49,647,684.55
  5. Step 5: Solve for x
    x = 49,647,684.55/7,772.52
  6. Step 6: Final answer
    x = 6,387.59

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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.