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Finding the Fourth Proportional to 9,740.76, 13,446.72 and 6,383.76

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Solution

The fourth proportional to 9,740.76, 13,446.72 and 6,383.76 is: 8,812.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,740.76 : 13,446.72 = 6,383.76 : x
  2. Step 2: Convert to fraction form
    9,740.76/13,446.72 = 6,383.76/x
  3. Step 3: Cross multiply
    9,740.76x = 13,446.72 × 6,383.76
  4. Step 4: Simplify right side
    9,740.76x = 85,840,633.27
  5. Step 5: Solve for x
    x = 85,840,633.27/9,740.76
  6. Step 6: Final answer
    x = 8,812.52

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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.