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Finding the Fourth Proportional to 7,191.64, 9,925.23 and 4,206.79

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Solution

The fourth proportional to 7,191.64, 9,925.23 and 4,206.79 is: 5,805.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,191.64 : 9,925.23 = 4,206.79 : x
  2. Step 2: Convert to fraction form
    7,191.64/9,925.23 = 4,206.79/x
  3. Step 3: Cross multiply
    7,191.64x = 9,925.23 × 4,206.79
  4. Step 4: Simplify right side
    7,191.64x = 41,753,358.31
  5. Step 5: Solve for x
    x = 41,753,358.31/7,191.64
  6. Step 6: Final answer
    x = 5,805.82

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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.