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Finding the Fourth Proportional to 25,902.35, 38,853.53 and 7,187.09

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Solution

The fourth proportional to 25,902.35, 38,853.53 and 7,187.09 is: 10,780.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,902.35 : 38,853.53 = 7,187.09 : x
  2. Step 2: Convert to fraction form
    25,902.35/38,853.53 = 7,187.09/x
  3. Step 3: Cross multiply
    25,902.35x = 38,853.53 × 7,187.09
  4. Step 4: Simplify right side
    25,902.35x = 279,243,878.13
  5. Step 5: Solve for x
    x = 279,243,878.13/25,902.35
  6. Step 6: Final answer
    x = 10,780.64

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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.