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Finding the Fourth Proportional to 6,998.34, 9,657.72 and 3,854.46

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Solution

The fourth proportional to 6,998.34, 9,657.72 and 3,854.46 is: 5,319.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998.34 : 9,657.72 = 3,854.46 : x
  2. Step 2: Convert to fraction form
    6,998.34/9,657.72 = 3,854.46/x
  3. Step 3: Cross multiply
    6,998.34x = 9,657.72 × 3,854.46
  4. Step 4: Simplify right side
    6,998.34x = 37,225,295.43
  5. Step 5: Solve for x
    x = 37,225,295.43/6,998.34
  6. Step 6: Final answer
    x = 5,319.16

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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.