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Finding the Fourth Proportional to 10,982.16, 16,458.64 and 9,514.48

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Solution

The fourth proportional to 10,982.16, 16,458.64 and 9,514.48 is: 14,259.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,982.16 : 16,458.64 = 9,514.48 : x
  2. Step 2: Convert to fraction form
    10,982.16/16,458.64 = 9,514.48/x
  3. Step 3: Cross multiply
    10,982.16x = 16,458.64 × 9,514.48
  4. Step 4: Simplify right side
    10,982.16x = 156,595,401.11
  5. Step 5: Solve for x
    x = 156,595,401.11/10,982.16
  6. Step 6: Final answer
    x = 14,259.07

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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.