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Finding the Fourth Proportional to 12,412.85, 17,129.75 and 6,823.85

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Solution

The fourth proportional to 12,412.85, 17,129.75 and 6,823.85 is: 9,416.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,412.85 : 17,129.75 = 6,823.85 : x
  2. Step 2: Convert to fraction form
    12,412.85/17,129.75 = 6,823.85/x
  3. Step 3: Cross multiply
    12,412.85x = 17,129.75 × 6,823.85
  4. Step 4: Simplify right side
    12,412.85x = 116,890,724.77
  5. Step 5: Solve for x
    x = 116,890,724.77/12,412.85
  6. Step 6: Final answer
    x = 9,416.92

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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.