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Finding the Fourth Proportional to 19,246.50, 26,560.25 and 10,414.50

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Solution

The fourth proportional to 19,246.50, 26,560.25 and 10,414.50 is: 14,372.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,246.50 : 26,560.25 = 10,414.50 : x
  2. Step 2: Convert to fraction form
    19,246.50/26,560.25 = 10,414.50/x
  3. Step 3: Cross multiply
    19,246.50x = 26,560.25 × 10,414.50
  4. Step 4: Simplify right side
    19,246.50x = 276,611,723.63
  5. Step 5: Solve for x
    x = 276,611,723.63/19,246.50
  6. Step 6: Final answer
    x = 14,372.05

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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.