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Finding the Fourth Proportional to 13,031.58, 17,983.52 and 7,063.20

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Solution

The fourth proportional to 13,031.58, 17,983.52 and 7,063.20 is: 9,747.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,031.58 : 17,983.52 = 7,063.20 : x
  2. Step 2: Convert to fraction form
    13,031.58/17,983.52 = 7,063.20/x
  3. Step 3: Cross multiply
    13,031.58x = 17,983.52 × 7,063.20
  4. Step 4: Simplify right side
    13,031.58x = 127,021,163.15
  5. Step 5: Solve for x
    x = 127,021,163.15/13,031.58
  6. Step 6: Final answer
    x = 9,747.18

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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.