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Finding the Fourth Proportional to 10,441.70, 14,402.10 and 6,909.69

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Solution

The fourth proportional to 10,441.70, 14,402.10 and 6,909.69 is: 9,530.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,441.70 : 14,402.10 = 6,909.69 : x
  2. Step 2: Convert to fraction form
    10,441.70/14,402.10 = 6,909.69/x
  3. Step 3: Cross multiply
    10,441.70x = 14,402.10 × 6,909.69
  4. Step 4: Simplify right side
    10,441.70x = 99,514,046.35
  5. Step 5: Solve for x
    x = 99,514,046.35/10,441.70
  6. Step 6: Final answer
    x = 9,530.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.