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Finding the Fourth Proportional to 9,788.92, 13,493.80 and 6,005.08

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Solution

The fourth proportional to 9,788.92, 13,493.80 and 6,005.08 is: 8,277.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,788.92 : 13,493.80 = 6,005.08 : x
  2. Step 2: Convert to fraction form
    9,788.92/13,493.80 = 6,005.08/x
  3. Step 3: Cross multiply
    9,788.92x = 13,493.80 × 6,005.08
  4. Step 4: Simplify right side
    9,788.92x = 81,031,348.50
  5. Step 5: Solve for x
    x = 81,031,348.50/9,788.92
  6. Step 6: Final answer
    x = 8,277.86

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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.