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Finding the Fourth Proportional to 6,998.45, 9,657.97 and 3,854.63

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Solution

The fourth proportional to 6,998.45, 9,657.97 and 3,854.63 is: 5,319.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998.45 : 9,657.97 = 3,854.63 : x
  2. Step 2: Convert to fraction form
    6,998.45/9,657.97 = 3,854.63/x
  3. Step 3: Cross multiply
    6,998.45x = 9,657.97 × 3,854.63
  4. Step 4: Simplify right side
    6,998.45x = 37,227,915.41
  5. Step 5: Solve for x
    x = 37,227,915.41/6,998.45
  6. Step 6: Final answer
    x = 5,319.46

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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.