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Finding the Fourth Proportional to 9,808.66, 13,524.69 and 7,446.70

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Solution

The fourth proportional to 9,808.66, 13,524.69 and 7,446.70 is: 10,267.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,808.66 : 13,524.69 = 7,446.70 : x
  2. Step 2: Convert to fraction form
    9,808.66/13,524.69 = 7,446.70/x
  3. Step 3: Cross multiply
    9,808.66x = 13,524.69 × 7,446.70
  4. Step 4: Simplify right side
    9,808.66x = 100,714,309.02
  5. Step 5: Solve for x
    x = 100,714,309.02/9,808.66
  6. Step 6: Final answer
    x = 10,267.90

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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.