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Finding the Fourth Proportional to 8,992.56, 13,465.80 and 8,209.20

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Solution

The fourth proportional to 8,992.56, 13,465.80 and 8,209.20 is: 12,292.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,992.56 : 13,465.80 = 8,209.20 : x
  2. Step 2: Convert to fraction form
    8,992.56/13,465.80 = 8,209.20/x
  3. Step 3: Cross multiply
    8,992.56x = 13,465.80 × 8,209.20
  4. Step 4: Simplify right side
    8,992.56x = 110,543,445.36
  5. Step 5: Solve for x
    x = 110,543,445.36/8,992.56
  6. Step 6: Final answer
    x = 12,292.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.