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Finding the Fourth Proportional to 6,899.54, 9,512.47 and 5,013.86

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Solution

The fourth proportional to 6,899.54, 9,512.47 and 5,013.86 is: 6,912.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,899.54 : 9,512.47 = 5,013.86 : x
  2. Step 2: Convert to fraction form
    6,899.54/9,512.47 = 5,013.86/x
  3. Step 3: Cross multiply
    6,899.54x = 9,512.47 × 5,013.86
  4. Step 4: Simplify right side
    6,899.54x = 47,694,192.83
  5. Step 5: Solve for x
    x = 47,694,192.83/6,899.54
  6. Step 6: Final answer
    x = 6,912.66

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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.