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Finding the Fourth Proportional to 12,954.40, 19,433.52 and 4,186.40

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Solution

The fourth proportional to 12,954.40, 19,433.52 and 4,186.40 is: 6,280.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,954.40 : 19,433.52 = 4,186.40 : x
  2. Step 2: Convert to fraction form
    12,954.40/19,433.52 = 4,186.40/x
  3. Step 3: Cross multiply
    12,954.40x = 19,433.52 × 4,186.40
  4. Step 4: Simplify right side
    12,954.40x = 81,356,488.13
  5. Step 5: Solve for x
    x = 81,356,488.13/12,954.40
  6. Step 6: Final answer
    x = 6,280.22

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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.