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Finding the Fourth Proportional to 9,223, 12,717.68 and 6,233.64

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Solution

The fourth proportional to 9,223, 12,717.68 and 6,233.64 is: 8,595.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,223 : 12,717.68 = 6,233.64 : x
  2. Step 2: Convert to fraction form
    9,223/12,717.68 = 6,233.64/x
  3. Step 3: Cross multiply
    9,223x = 12,717.68 × 6,233.64
  4. Step 4: Simplify right side
    9,223x = 79,277,438.76
  5. Step 5: Solve for x
    x = 79,277,438.76/9,223
  6. Step 6: Final answer
    x = 8,595.62

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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.