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Finding the Fourth Proportional to 14,590.91, 21,876.78 and 7,200.20

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Solution

The fourth proportional to 14,590.91, 21,876.78 and 7,200.20 is: 10,795.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,590.91 : 21,876.78 = 7,200.20 : x
  2. Step 2: Convert to fraction form
    14,590.91/21,876.78 = 7,200.20/x
  3. Step 3: Cross multiply
    14,590.91x = 21,876.78 × 7,200.20
  4. Step 4: Simplify right side
    14,590.91x = 157,517,191.36
  5. Step 5: Solve for x
    x = 157,517,191.36/14,590.91
  6. Step 6: Final answer
    x = 10,795.57

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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.