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Finding the Fourth Proportional to 7,174.24, 9,903.82 and 4,788.20

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Solution

The fourth proportional to 7,174.24, 9,903.82 and 4,788.20 is: 6,609.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,174.24 : 9,903.82 = 4,788.20 : x
  2. Step 2: Convert to fraction form
    7,174.24/9,903.82 = 4,788.20/x
  3. Step 3: Cross multiply
    7,174.24x = 9,903.82 × 4,788.20
  4. Step 4: Simplify right side
    7,174.24x = 47,421,470.92
  5. Step 5: Solve for x
    x = 47,421,470.92/7,174.24
  6. Step 6: Final answer
    x = 6,609.96

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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.