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Finding the Fourth Proportional to 9,044.32, 12,493.74 and 6,823.30

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Solution

The fourth proportional to 9,044.32, 12,493.74 and 6,823.30 is: 9,425.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,044.32 : 12,493.74 = 6,823.30 : x
  2. Step 2: Convert to fraction form
    9,044.32/12,493.74 = 6,823.30/x
  3. Step 3: Cross multiply
    9,044.32x = 12,493.74 × 6,823.30
  4. Step 4: Simplify right side
    9,044.32x = 85,248,536.14
  5. Step 5: Solve for x
    x = 85,248,536.14/9,044.32
  6. Step 6: Final answer
    x = 9,425.64

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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.