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Finding the Fourth Proportional to 6,031.40, 8,171.55 and 6,031.40

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Solution

The fourth proportional to 6,031.40, 8,171.55 and 6,031.40 is: 8,171.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,031.40 : 8,171.55 = 6,031.40 : x
  2. Step 2: Convert to fraction form
    6,031.40/8,171.55 = 6,031.40/x
  3. Step 3: Cross multiply
    6,031.40x = 8,171.55 × 6,031.40
  4. Step 4: Simplify right side
    6,031.40x = 49,285,886.67
  5. Step 5: Solve for x
    x = 49,285,886.67/6,031.40
  6. Step 6: Final answer
    x = 8,171.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.