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Finding the Fourth Proportional to 9,101.70, 12,560.12 and 5,957.82

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Solution

The fourth proportional to 9,101.70, 12,560.12 and 5,957.82 is: 8,221.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,101.70 : 12,560.12 = 5,957.82 : x
  2. Step 2: Convert to fraction form
    9,101.70/12,560.12 = 5,957.82/x
  3. Step 3: Cross multiply
    9,101.70x = 12,560.12 × 5,957.82
  4. Step 4: Simplify right side
    9,101.70x = 74,830,934.14
  5. Step 5: Solve for x
    x = 74,830,934.14/9,101.70
  6. Step 6: Final answer
    x = 8,221.64

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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.