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Finding the Fourth Proportional to 7,146.04, 9,861.98 and 4,003.24

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Solution

The fourth proportional to 7,146.04, 9,861.98 and 4,003.24 is: 5,524.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,146.04 : 9,861.98 = 4,003.24 : x
  2. Step 2: Convert to fraction form
    7,146.04/9,861.98 = 4,003.24/x
  3. Step 3: Cross multiply
    7,146.04x = 9,861.98 × 4,003.24
  4. Step 4: Simplify right side
    7,146.04x = 39,479,872.82
  5. Step 5: Solve for x
    x = 39,479,872.82/7,146.04
  6. Step 6: Final answer
    x = 5,524.72

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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.