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Finding the Fourth Proportional to 9,788.64, 13,504.80 and 6,251.52

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Solution

The fourth proportional to 9,788.64, 13,504.80 and 6,251.52 is: 8,624.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,788.64 : 13,504.80 = 6,251.52 : x
  2. Step 2: Convert to fraction form
    9,788.64/13,504.80 = 6,251.52/x
  3. Step 3: Cross multiply
    9,788.64x = 13,504.80 × 6,251.52
  4. Step 4: Simplify right side
    9,788.64x = 84,425,527.30
  5. Step 5: Solve for x
    x = 84,425,527.30/9,788.64
  6. Step 6: Final answer
    x = 8,624.85

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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.