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Finding the Fourth Proportional to 15,194.80, 20,970.72 and 9,226.08

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Solution

The fourth proportional to 15,194.80, 20,970.72 and 9,226.08 is: 12,733.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,194.80 : 20,970.72 = 9,226.08 : x
  2. Step 2: Convert to fraction form
    15,194.80/20,970.72 = 9,226.08/x
  3. Step 3: Cross multiply
    15,194.80x = 20,970.72 × 9,226.08
  4. Step 4: Simplify right side
    15,194.80x = 193,477,540.38
  5. Step 5: Solve for x
    x = 193,477,540.38/15,194.80
  6. Step 6: Final answer
    x = 12,733.14

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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.