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Finding the Fourth Proportional to 7,061.80, 9,742.82 and 6,003.24

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Solution

The fourth proportional to 7,061.80, 9,742.82 and 6,003.24 is: 8,282.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,061.80 : 9,742.82 = 6,003.24 : x
  2. Step 2: Convert to fraction form
    7,061.80/9,742.82 = 6,003.24/x
  3. Step 3: Cross multiply
    7,061.80x = 9,742.82 × 6,003.24
  4. Step 4: Simplify right side
    7,061.80x = 58,488,486.74
  5. Step 5: Solve for x
    x = 58,488,486.74/7,061.80
  6. Step 6: Final answer
    x = 8,282.38

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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.