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Finding the Fourth Proportional to 13,464.76, 18,578.55 and 7,799.17

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Solution

The fourth proportional to 13,464.76, 18,578.55 and 7,799.17 is: 10,761.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,464.76 : 18,578.55 = 7,799.17 : x
  2. Step 2: Convert to fraction form
    13,464.76/18,578.55 = 7,799.17/x
  3. Step 3: Cross multiply
    13,464.76x = 18,578.55 × 7,799.17
  4. Step 4: Simplify right side
    13,464.76x = 144,897,223.36
  5. Step 5: Solve for x
    x = 144,897,223.36/13,464.76
  6. Step 6: Final answer
    x = 10,761.22

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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.