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Finding the Fourth Proportional to 12,952.40, 19,431.24 and 7,408.40

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Solution

The fourth proportional to 12,952.40, 19,431.24 and 7,408.40 is: 11,114.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,952.40 : 19,431.24 = 7,408.40 : x
  2. Step 2: Convert to fraction form
    12,952.40/19,431.24 = 7,408.40/x
  3. Step 3: Cross multiply
    12,952.40x = 19,431.24 × 7,408.40
  4. Step 4: Simplify right side
    12,952.40x = 143,954,398.42
  5. Step 5: Solve for x
    x = 143,954,398.42/12,952.40
  6. Step 6: Final answer
    x = 11,114.11

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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.