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Finding the Fourth Proportional to 6,995.72, 9,657.12 and 5,002.82

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Solution

The fourth proportional to 6,995.72, 9,657.12 and 5,002.82 is: 6,906.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,995.72 : 9,657.12 = 5,002.82 : x
  2. Step 2: Convert to fraction form
    6,995.72/9,657.12 = 5,002.82/x
  3. Step 3: Cross multiply
    6,995.72x = 9,657.12 × 5,002.82
  4. Step 4: Simplify right side
    6,995.72x = 48,312,833.08
  5. Step 5: Solve for x
    x = 48,312,833.08/6,995.72
  6. Step 6: Final answer
    x = 6,906.06

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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.