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Finding the Fourth Proportional to 11,610.96, 17,393.76 and 9,275.76

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Solution

The fourth proportional to 11,610.96, 17,393.76 and 9,275.76 is: 13,895.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,610.96 : 17,393.76 = 9,275.76 : x
  2. Step 2: Convert to fraction form
    11,610.96/17,393.76 = 9,275.76/x
  3. Step 3: Cross multiply
    11,610.96x = 17,393.76 × 9,275.76
  4. Step 4: Simplify right side
    11,610.96x = 161,340,343.26
  5. Step 5: Solve for x
    x = 161,340,343.26/11,610.96
  6. Step 6: Final answer
    x = 13,895.52

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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.