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Finding the Fourth Proportional to 6,846.84, 10,217.82 and 6,108.66

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Solution

The fourth proportional to 6,846.84, 10,217.82 and 6,108.66 is: 9,116.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,846.84 : 10,217.82 = 6,108.66 : x
  2. Step 2: Convert to fraction form
    6,846.84/10,217.82 = 6,108.66/x
  3. Step 3: Cross multiply
    6,846.84x = 10,217.82 × 6,108.66
  4. Step 4: Simplify right side
    6,846.84x = 62,417,188.32
  5. Step 5: Solve for x
    x = 62,417,188.32/6,846.84
  6. Step 6: Final answer
    x = 9,116.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.