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Finding the Fourth Proportional to 8,646.39, 12,970.08 and 2,724.12

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Solution

The fourth proportional to 8,646.39, 12,970.08 and 2,724.12 is: 4,086.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,646.39 : 12,970.08 = 2,724.12 : x
  2. Step 2: Convert to fraction form
    8,646.39/12,970.08 = 2,724.12/x
  3. Step 3: Cross multiply
    8,646.39x = 12,970.08 × 2,724.12
  4. Step 4: Simplify right side
    8,646.39x = 35,332,054.33
  5. Step 5: Solve for x
    x = 35,332,054.33/8,646.39
  6. Step 6: Final answer
    x = 4,086.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.