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Finding the Fourth Proportional to 6,997.84, 9,657.02 and 3,854.03

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Solution

The fourth proportional to 6,997.84, 9,657.02 and 3,854.03 is: 5,318.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,997.84 : 9,657.02 = 3,854.03 : x
  2. Step 2: Convert to fraction form
    6,997.84/9,657.02 = 3,854.03/x
  3. Step 3: Cross multiply
    6,997.84x = 9,657.02 × 3,854.03
  4. Step 4: Simplify right side
    6,997.84x = 37,218,444.79
  5. Step 5: Solve for x
    x = 37,218,444.79/6,997.84
  6. Step 6: Final answer
    x = 5,318.56

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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.