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Finding the Fourth Proportional to 25,175, 34,741.50 and 13,844.70

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Solution

The fourth proportional to 25,175, 34,741.50 and 13,844.70 is: 19,105.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,175 : 34,741.50 = 13,844.70 : x
  2. Step 2: Convert to fraction form
    25,175/34,741.50 = 13,844.70/x
  3. Step 3: Cross multiply
    25,175x = 34,741.50 × 13,844.70
  4. Step 4: Simplify right side
    25,175x = 480,985,645.05
  5. Step 5: Solve for x
    x = 480,985,645.05/25,175
  6. Step 6: Final answer
    x = 19,105.69

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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.