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Finding the Fourth Proportional to 9,220.32, 13,818.64 and 5,524.64

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Solution

The fourth proportional to 9,220.32, 13,818.64 and 5,524.64 is: 8,279.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,220.32 : 13,818.64 = 5,524.64 : x
  2. Step 2: Convert to fraction form
    9,220.32/13,818.64 = 5,524.64/x
  3. Step 3: Cross multiply
    9,220.32x = 13,818.64 × 5,524.64
  4. Step 4: Simplify right side
    9,220.32x = 76,343,011.29
  5. Step 5: Solve for x
    x = 76,343,011.29/9,220.32
  6. Step 6: Final answer
    x = 8,279.87

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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.