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Finding the Fourth Proportional to 7,221.47, 9,965.15 and 4,077.46

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Solution

The fourth proportional to 7,221.47, 9,965.15 and 4,077.46 is: 5,626.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,221.47 : 9,965.15 = 4,077.46 : x
  2. Step 2: Convert to fraction form
    7,221.47/9,965.15 = 4,077.46/x
  3. Step 3: Cross multiply
    7,221.47x = 9,965.15 × 4,077.46
  4. Step 4: Simplify right side
    7,221.47x = 40,632,451.82
  5. Step 5: Solve for x
    x = 40,632,451.82/7,221.47
  6. Step 6: Final answer
    x = 5,626.62

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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.