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Finding the Fourth Proportional to 15,047.56, 20,761.14 and 9,733.96

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Solution

The fourth proportional to 15,047.56, 20,761.14 and 9,733.96 is: 13,429.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,047.56 : 20,761.14 = 9,733.96 : x
  2. Step 2: Convert to fraction form
    15,047.56/20,761.14 = 9,733.96/x
  3. Step 3: Cross multiply
    15,047.56x = 20,761.14 × 9,733.96
  4. Step 4: Simplify right side
    15,047.56x = 202,088,106.31
  5. Step 5: Solve for x
    x = 202,088,106.31/15,047.56
  6. Step 6: Final answer
    x = 13,429.96

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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.