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Finding the Fourth Proportional to 10,696.25, 15,966.03 and 9,433.73

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Solution

The fourth proportional to 10,696.25, 15,966.03 and 9,433.73 is: 14,081.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,696.25 : 15,966.03 = 9,433.73 : x
  2. Step 2: Convert to fraction form
    10,696.25/15,966.03 = 9,433.73/x
  3. Step 3: Cross multiply
    10,696.25x = 15,966.03 × 9,433.73
  4. Step 4: Simplify right side
    10,696.25x = 150,619,216.19
  5. Step 5: Solve for x
    x = 150,619,216.19/10,696.25
  6. Step 6: Final answer
    x = 14,081.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.