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Finding the Fourth Proportional to 20,566.32, 30,843.10 and 7,416.98

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Solution

The fourth proportional to 20,566.32, 30,843.10 and 7,416.98 is: 11,123.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,566.32 : 30,843.10 = 7,416.98 : x
  2. Step 2: Convert to fraction form
    20,566.32/30,843.10 = 7,416.98/x
  3. Step 3: Cross multiply
    20,566.32x = 30,843.10 × 7,416.98
  4. Step 4: Simplify right side
    20,566.32x = 228,762,800.05
  5. Step 5: Solve for x
    x = 228,762,800.05/20,566.32
  6. Step 6: Final answer
    x = 11,123.18

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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.