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Finding the Fourth Proportional to 25,927.50, 38,891.25 and 7,459.50

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Solution

The fourth proportional to 25,927.50, 38,891.25 and 7,459.50 is: 11,189.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,927.50 : 38,891.25 = 7,459.50 : x
  2. Step 2: Convert to fraction form
    25,927.50/38,891.25 = 7,459.50/x
  3. Step 3: Cross multiply
    25,927.50x = 38,891.25 × 7,459.50
  4. Step 4: Simplify right side
    25,927.50x = 290,109,279.38
  5. Step 5: Solve for x
    x = 290,109,279.38/25,927.50
  6. Step 6: Final answer
    x = 11,189.25

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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.