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Finding the Fourth Proportional to 10,696.24, 15,966.04 and 9,433.72

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Solution

The fourth proportional to 10,696.24, 15,966.04 and 9,433.72 is: 14,081.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,696.24 : 15,966.04 = 9,433.72 : x
  2. Step 2: Convert to fraction form
    10,696.24/15,966.04 = 9,433.72/x
  3. Step 3: Cross multiply
    10,696.24x = 15,966.04 × 9,433.72
  4. Step 4: Simplify right side
    10,696.24x = 150,619,150.87
  5. Step 5: Solve for x
    x = 150,619,150.87/10,696.24
  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.