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Finding the Fourth Proportional to 6,998.40, 9,657.68 and 3,854.64

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Solution

The fourth proportional to 6,998.40, 9,657.68 and 3,854.64 is: 5,319.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998.40 : 9,657.68 = 3,854.64 : x
  2. Step 2: Convert to fraction form
    6,998.40/9,657.68 = 3,854.64/x
  3. Step 3: Cross multiply
    6,998.40x = 9,657.68 × 3,854.64
  4. Step 4: Simplify right side
    6,998.40x = 37,226,879.64
  5. Step 5: Solve for x
    x = 37,226,879.64/6,998.40
  6. Step 6: Final answer
    x = 5,319.34

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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.