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Finding the Fourth Proportional to 12,838.59, 17,719.53 and 8,306.85

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Solution

The fourth proportional to 12,838.59, 17,719.53 and 8,306.85 is: 11,464.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,838.59 : 17,719.53 = 8,306.85 : x
  2. Step 2: Convert to fraction form
    12,838.59/17,719.53 = 8,306.85/x
  3. Step 3: Cross multiply
    12,838.59x = 17,719.53 × 8,306.85
  4. Step 4: Simplify right side
    12,838.59x = 147,193,477.78
  5. Step 5: Solve for x
    x = 147,193,477.78/12,838.59
  6. Step 6: Final answer
    x = 11,464.93

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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.