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Finding the Fourth Proportional to 9,660.30, 13,326.92 and 6,302.34

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Solution

The fourth proportional to 9,660.30, 13,326.92 and 6,302.34 is: 8,694.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,660.30 : 13,326.92 = 6,302.34 : x
  2. Step 2: Convert to fraction form
    9,660.30/13,326.92 = 6,302.34/x
  3. Step 3: Cross multiply
    9,660.30x = 13,326.92 × 6,302.34
  4. Step 4: Simplify right side
    9,660.30x = 83,990,780.99
  5. Step 5: Solve for x
    x = 83,990,780.99/9,660.30
  6. Step 6: Final answer
    x = 8,694.43

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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.