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Finding the Fourth Proportional to 14,559, 20,093.76 and 8,275.20

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Solution

The fourth proportional to 14,559, 20,093.76 and 8,275.20 is: 11,421.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,559 : 20,093.76 = 8,275.20 : x
  2. Step 2: Convert to fraction form
    14,559/20,093.76 = 8,275.20/x
  3. Step 3: Cross multiply
    14,559x = 20,093.76 × 8,275.20
  4. Step 4: Simplify right side
    14,559x = 166,279,882.75
  5. Step 5: Solve for x
    x = 166,279,882.75/14,559
  6. Step 6: Final answer
    x = 11,421.11

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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.