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Finding the Fourth Proportional to 41,049.75, 61,574.64 and 9,885

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Solution

The fourth proportional to 41,049.75, 61,574.64 and 9,885 is: 14,827.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,049.75 : 61,574.64 = 9,885 : x
  2. Step 2: Convert to fraction form
    41,049.75/61,574.64 = 9,885/x
  3. Step 3: Cross multiply
    41,049.75x = 61,574.64 × 9,885
  4. Step 4: Simplify right side
    41,049.75x = 608,665,316.40
  5. Step 5: Solve for x
    x = 608,665,316.40/41,049.75
  6. Step 6: Final answer
    x = 14,827.50

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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.