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Finding the Fourth Proportional to 10,040.76, 13,857.48 and 5,849.28

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Solution

The fourth proportional to 10,040.76, 13,857.48 and 5,849.28 is: 8,072.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,040.76 : 13,857.48 = 5,849.28 : x
  2. Step 2: Convert to fraction form
    10,040.76/13,857.48 = 5,849.28/x
  3. Step 3: Cross multiply
    10,040.76x = 13,857.48 × 5,849.28
  4. Step 4: Simplify right side
    10,040.76x = 81,056,280.61
  5. Step 5: Solve for x
    x = 81,056,280.61/10,040.76
  6. Step 6: Final answer
    x = 8,072.72

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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.