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Finding the Fourth Proportional to 12,470.67, 17,209.44 and 6,881.67

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Solution

The fourth proportional to 12,470.67, 17,209.44 and 6,881.67 is: 9,496.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,470.67 : 17,209.44 = 6,881.67 : x
  2. Step 2: Convert to fraction form
    12,470.67/17,209.44 = 6,881.67/x
  3. Step 3: Cross multiply
    12,470.67x = 17,209.44 × 6,881.67
  4. Step 4: Simplify right side
    12,470.67x = 118,429,686.96
  5. Step 5: Solve for x
    x = 118,429,686.96/12,470.67
  6. Step 6: Final answer
    x = 9,496.66

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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.