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Finding the Fourth Proportional to 7,188.24, 9,919.76 and 4,044.42

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Solution

The fourth proportional to 7,188.24, 9,919.76 and 4,044.42 is: 5,581.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,188.24 : 9,919.76 = 4,044.42 : x
  2. Step 2: Convert to fraction form
    7,188.24/9,919.76 = 4,044.42/x
  3. Step 3: Cross multiply
    7,188.24x = 9,919.76 × 4,044.42
  4. Step 4: Simplify right side
    7,188.24x = 40,119,675.74
  5. Step 5: Solve for x
    x = 40,119,675.74/7,188.24
  6. Step 6: Final answer
    x = 5,581.29

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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.