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Finding the Fourth Proportional to 13,031.92, 17,984 and 7,063.76

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Solution

The fourth proportional to 13,031.92, 17,984 and 7,063.76 is: 9,747.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,031.92 : 17,984 = 7,063.76 : x
  2. Step 2: Convert to fraction form
    13,031.92/17,984 = 7,063.76/x
  3. Step 3: Cross multiply
    13,031.92x = 17,984 × 7,063.76
  4. Step 4: Simplify right side
    13,031.92x = 127,034,659.84
  5. Step 5: Solve for x
    x = 127,034,659.84/13,031.92
  6. Step 6: Final answer
    x = 9,747.96

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Double scale
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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.