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Finding the Fourth Proportional to 13,043.76, 17,998.38 and 8,569.32

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Solution

The fourth proportional to 13,043.76, 17,998.38 and 8,569.32 is: 11,824.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,043.76 : 17,998.38 = 8,569.32 : x
  2. Step 2: Convert to fraction form
    13,043.76/17,998.38 = 8,569.32/x
  3. Step 3: Cross multiply
    13,043.76x = 17,998.38 × 8,569.32
  4. Step 4: Simplify right side
    13,043.76x = 154,233,877.70
  5. Step 5: Solve for x
    x = 154,233,877.70/13,043.76
  6. Step 6: Final answer
    x = 11,824.34

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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.