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Finding the Fourth Proportional to 9,222.32, 13,821.64 and 5,526.64

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Solution

The fourth proportional to 9,222.32, 13,821.64 and 5,526.64 is: 8,282.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,222.32 : 13,821.64 = 5,526.64 : x
  2. Step 2: Convert to fraction form
    9,222.32/13,821.64 = 5,526.64/x
  3. Step 3: Cross multiply
    9,222.32x = 13,821.64 × 5,526.64
  4. Step 4: Simplify right side
    9,222.32x = 76,387,228.49
  5. Step 5: Solve for x
    x = 76,387,228.49/9,222.32
  6. Step 6: Final answer
    x = 8,282.86

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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.