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Finding the Fourth Proportional to 12,833.61, 17,710.19 and 7,168.46

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Solution

The fourth proportional to 12,833.61, 17,710.19 and 7,168.46 is: 9,892.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,833.61 : 17,710.19 = 7,168.46 : x
  2. Step 2: Convert to fraction form
    12,833.61/17,710.19 = 7,168.46/x
  3. Step 3: Cross multiply
    12,833.61x = 17,710.19 × 7,168.46
  4. Step 4: Simplify right side
    12,833.61x = 126,954,788.61
  5. Step 5: Solve for x
    x = 126,954,788.61/12,833.61
  6. Step 6: Final answer
    x = 9,892.37

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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.