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Finding the Fourth Proportional to 11,471.22, 15,826.59 and 6,754.59

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Solution

The fourth proportional to 11,471.22, 15,826.59 and 6,754.59 is: 9,319.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,471.22 : 15,826.59 = 6,754.59 : x
  2. Step 2: Convert to fraction form
    11,471.22/15,826.59 = 6,754.59/x
  3. Step 3: Cross multiply
    11,471.22x = 15,826.59 × 6,754.59
  4. Step 4: Simplify right side
    11,471.22x = 106,902,126.55
  5. Step 5: Solve for x
    x = 106,902,126.55/11,471.22
  6. Step 6: Final answer
    x = 9,319.16

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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.