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Finding the Fourth Proportional to 12,832.40, 19,259.40 and 6,264.20

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Solution

The fourth proportional to 12,832.40, 19,259.40 and 6,264.20 is: 9,401.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,832.40 : 19,259.40 = 6,264.20 : x
  2. Step 2: Convert to fraction form
    12,832.40/19,259.40 = 6,264.20/x
  3. Step 3: Cross multiply
    12,832.40x = 19,259.40 × 6,264.20
  4. Step 4: Simplify right side
    12,832.40x = 120,644,733.48
  5. Step 5: Solve for x
    x = 120,644,733.48/12,832.40
  6. Step 6: Final answer
    x = 9,401.57

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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.