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Finding the Fourth Proportional to 15,154.82, 22,737.71 and 7,762.76

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Solution

The fourth proportional to 15,154.82, 22,737.71 and 7,762.76 is: 11,646.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,154.82 : 22,737.71 = 7,762.76 : x
  2. Step 2: Convert to fraction form
    15,154.82/22,737.71 = 7,762.76/x
  3. Step 3: Cross multiply
    15,154.82x = 22,737.71 × 7,762.76
  4. Step 4: Simplify right side
    15,154.82x = 176,507,385.68
  5. Step 5: Solve for x
    x = 176,507,385.68/15,154.82
  6. Step 6: Final answer
    x = 11,646.95

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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.