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Finding the Fourth Proportional to 10,674.56, 15,930.28 and 9,508.16

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Solution

The fourth proportional to 10,674.56, 15,930.28 and 9,508.16 is: 14,189.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,674.56 : 15,930.28 = 9,508.16 : x
  2. Step 2: Convert to fraction form
    10,674.56/15,930.28 = 9,508.16/x
  3. Step 3: Cross multiply
    10,674.56x = 15,930.28 × 9,508.16
  4. Step 4: Simplify right side
    10,674.56x = 151,467,651.08
  5. Step 5: Solve for x
    x = 151,467,651.08/10,674.56
  6. Step 6: Final answer
    x = 14,189.59

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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.