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Finding the Fourth Proportional to 12,508.14, 17,255.03 and 7,969.66

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Solution

The fourth proportional to 12,508.14, 17,255.03 and 7,969.66 is: 10,994.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,508.14 : 17,255.03 = 7,969.66 : x
  2. Step 2: Convert to fraction form
    12,508.14/17,255.03 = 7,969.66/x
  3. Step 3: Cross multiply
    12,508.14x = 17,255.03 × 7,969.66
  4. Step 4: Simplify right side
    12,508.14x = 137,516,639.40
  5. Step 5: Solve for x
    x = 137,516,639.40/12,508.14
  6. Step 6: Final answer
    x = 10,994.17

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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.