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Finding the Fourth Proportional to 12,998.40, 19,496.16 and 3,764.40

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Solution

The fourth proportional to 12,998.40, 19,496.16 and 3,764.40 is: 5,646.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,998.40 : 19,496.16 = 3,764.40 : x
  2. Step 2: Convert to fraction form
    12,998.40/19,496.16 = 3,764.40/x
  3. Step 3: Cross multiply
    12,998.40x = 19,496.16 × 3,764.40
  4. Step 4: Simplify right side
    12,998.40x = 73,391,344.70
  5. Step 5: Solve for x
    x = 73,391,344.70/12,998.40
  6. Step 6: Final answer
    x = 5,646.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.