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Finding the Fourth Proportional to 18,177.50, 25,088.51 and 10,219.25

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Solution

The fourth proportional to 18,177.50, 25,088.51 and 10,219.25 is: 14,104.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,177.50 : 25,088.51 = 10,219.25 : x
  2. Step 2: Convert to fraction form
    18,177.50/25,088.51 = 10,219.25/x
  3. Step 3: Cross multiply
    18,177.50x = 25,088.51 × 10,219.25
  4. Step 4: Simplify right side
    18,177.50x = 256,385,844.09
  5. Step 5: Solve for x
    x = 256,385,844.09/18,177.50
  6. Step 6: Final answer
    x = 14,104.57

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Half scale
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Double scale
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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.