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Finding the Fourth Proportional to 11,182.80, 16,774.20 and 7,246.20

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Solution

The fourth proportional to 11,182.80, 16,774.20 and 7,246.20 is: 10,869.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,182.80 : 16,774.20 = 7,246.20 : x
  2. Step 2: Convert to fraction form
    11,182.80/16,774.20 = 7,246.20/x
  3. Step 3: Cross multiply
    11,182.80x = 16,774.20 × 7,246.20
  4. Step 4: Simplify right side
    11,182.80x = 121,549,208.04
  5. Step 5: Solve for x
    x = 121,549,208.04/11,182.80
  6. Step 6: Final answer
    x = 10,869.30

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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.