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Finding the Fourth Proportional to 16,696.74, 25,036.74 and 9,306.30

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Solution

The fourth proportional to 16,696.74, 25,036.74 and 9,306.30 is: 13,954.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,696.74 : 25,036.74 = 9,306.30 : x
  2. Step 2: Convert to fraction form
    16,696.74/25,036.74 = 9,306.30/x
  3. Step 3: Cross multiply
    16,696.74x = 25,036.74 × 9,306.30
  4. Step 4: Simplify right side
    16,696.74x = 232,999,413.46
  5. Step 5: Solve for x
    x = 232,999,413.46/16,696.74
  6. Step 6: Final answer
    x = 13,954.78

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1.5x scale

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.