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Finding the Fourth Proportional to 24,427.82, 36,642.46 and 6,895.82

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Solution

The fourth proportional to 24,427.82, 36,642.46 and 6,895.82 is: 10,343.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,427.82 : 36,642.46 = 6,895.82 : x
  2. Step 2: Convert to fraction form
    24,427.82/36,642.46 = 6,895.82/x
  3. Step 3: Cross multiply
    24,427.82x = 36,642.46 × 6,895.82
  4. Step 4: Simplify right side
    24,427.82x = 252,679,808.52
  5. Step 5: Solve for x
    x = 252,679,808.52/24,427.82
  6. Step 6: Final answer
    x = 10,343.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.