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Finding the Fourth Proportional to 18,800.50, 25,945.54 and 10,417

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Solution

The fourth proportional to 18,800.50, 25,945.54 and 10,417 is: 14,375.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,800.50 : 25,945.54 = 10,417 : x
  2. Step 2: Convert to fraction form
    18,800.50/25,945.54 = 10,417/x
  3. Step 3: Cross multiply
    18,800.50x = 25,945.54 × 10,417
  4. Step 4: Simplify right side
    18,800.50x = 270,274,690.18
  5. Step 5: Solve for x
    x = 270,274,690.18/18,800.50
  6. Step 6: Final answer
    x = 14,375.93

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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.