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Finding the Fourth Proportional to 7,178.25, 9,905.10 and 4,191.92

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Solution

The fourth proportional to 7,178.25, 9,905.10 and 4,191.92 is: 5,784.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,178.25 : 9,905.10 = 4,191.92 : x
  2. Step 2: Convert to fraction form
    7,178.25/9,905.10 = 4,191.92/x
  3. Step 3: Cross multiply
    7,178.25x = 9,905.10 × 4,191.92
  4. Step 4: Simplify right side
    7,178.25x = 41,521,337.27
  5. Step 5: Solve for x
    x = 41,521,337.27/7,178.25
  6. Step 6: Final answer
    x = 5,784.33

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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.