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Finding the Fourth Proportional to 9,306.04, 12,844.23 and 8,558.82

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Solution

The fourth proportional to 9,306.04, 12,844.23 and 8,558.82 is: 11,812.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,306.04 : 12,844.23 = 8,558.82 : x
  2. Step 2: Convert to fraction form
    9,306.04/12,844.23 = 8,558.82/x
  3. Step 3: Cross multiply
    9,306.04x = 12,844.23 × 8,558.82
  4. Step 4: Simplify right side
    9,306.04x = 109,931,452.61
  5. Step 5: Solve for x
    x = 109,931,452.61/9,306.04
  6. Step 6: Final answer
    x = 11,812.91

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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.