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Finding the Fourth Proportional to 9,793.56, 13,509.45 and 6,252.78

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Solution

The fourth proportional to 9,793.56, 13,509.45 and 6,252.78 is: 8,625.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,793.56 : 13,509.45 = 6,252.78 : x
  2. Step 2: Convert to fraction form
    9,793.56/13,509.45 = 6,252.78/x
  3. Step 3: Cross multiply
    9,793.56x = 13,509.45 × 6,252.78
  4. Step 4: Simplify right side
    9,793.56x = 84,471,618.77
  5. Step 5: Solve for x
    x = 84,471,618.77/9,793.56
  6. Step 6: Final answer
    x = 8,625.22

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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.