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Finding the Fourth Proportional to 11,371.67, 15,685.76 and 7,828.73

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Solution

The fourth proportional to 11,371.67, 15,685.76 and 7,828.73 is: 10,798.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,371.67 : 15,685.76 = 7,828.73 : x
  2. Step 2: Convert to fraction form
    11,371.67/15,685.76 = 7,828.73/x
  3. Step 3: Cross multiply
    11,371.67x = 15,685.76 × 7,828.73
  4. Step 4: Simplify right side
    11,371.67x = 122,799,462.31
  5. Step 5: Solve for x
    x = 122,799,462.31/11,371.67
  6. Step 6: Final answer
    x = 10,798.72

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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.