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Finding the Fourth Proportional to 9,691.05, 14,524.02 and 6,402.45

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Solution

The fourth proportional to 9,691.05, 14,524.02 and 6,402.45 is: 9,595.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,691.05 : 14,524.02 = 6,402.45 : x
  2. Step 2: Convert to fraction form
    9,691.05/14,524.02 = 6,402.45/x
  3. Step 3: Cross multiply
    9,691.05x = 14,524.02 × 6,402.45
  4. Step 4: Simplify right side
    9,691.05x = 92,989,311.85
  5. Step 5: Solve for x
    x = 92,989,311.85/9,691.05
  6. Step 6: Final answer
    x = 9,595.38

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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.