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Finding the Fourth Proportional to 10,151.10, 15,206.40 and 8,933.40

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Solution

The fourth proportional to 10,151.10, 15,206.40 and 8,933.40 is: 13,382.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,151.10 : 15,206.40 = 8,933.40 : x
  2. Step 2: Convert to fraction form
    10,151.10/15,206.40 = 8,933.40/x
  3. Step 3: Cross multiply
    10,151.10x = 15,206.40 × 8,933.40
  4. Step 4: Simplify right side
    10,151.10x = 135,844,853.76
  5. Step 5: Solve for x
    x = 135,844,853.76/10,151.10
  6. Step 6: Final answer
    x = 13,382.28

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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.