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Finding the Fourth Proportional to 12,635.38, 17,436.46 and 6,970.15

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Solution

The fourth proportional to 12,635.38, 17,436.46 and 6,970.15 is: 9,618.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,635.38 : 17,436.46 = 6,970.15 : x
  2. Step 2: Convert to fraction form
    12,635.38/17,436.46 = 6,970.15/x
  3. Step 3: Cross multiply
    12,635.38x = 17,436.46 × 6,970.15
  4. Step 4: Simplify right side
    12,635.38x = 121,534,619.64
  5. Step 5: Solve for x
    x = 121,534,619.64/12,635.38
  6. Step 6: Final answer
    x = 9,618.60

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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.