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Finding the Fourth Proportional to 10,941.40, 16,412.10 and 7,658.20

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Solution

The fourth proportional to 10,941.40, 16,412.10 and 7,658.20 is: 11,487.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,941.40 : 16,412.10 = 7,658.20 : x
  2. Step 2: Convert to fraction form
    10,941.40/16,412.10 = 7,658.20/x
  3. Step 3: Cross multiply
    10,941.40x = 16,412.10 × 7,658.20
  4. Step 4: Simplify right side
    10,941.40x = 125,687,144.22
  5. Step 5: Solve for x
    x = 125,687,144.22/10,941.40
  6. Step 6: Final answer
    x = 11,487.30

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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.