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Finding the Fourth Proportional to 15,891.80, 21,931.73 and 9,177.71

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Solution

The fourth proportional to 15,891.80, 21,931.73 and 9,177.71 is: 12,665.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,891.80 : 21,931.73 = 9,177.71 : x
  2. Step 2: Convert to fraction form
    15,891.80/21,931.73 = 9,177.71/x
  3. Step 3: Cross multiply
    15,891.80x = 21,931.73 × 9,177.71
  4. Step 4: Simplify right side
    15,891.80x = 201,283,011.85
  5. Step 5: Solve for x
    x = 201,283,011.85/15,891.80
  6. Step 6: Final answer
    x = 12,665.84

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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.