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Finding the Fourth Proportional to 9,519, 14,278.50 and 2,593.50

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Solution

The fourth proportional to 9,519, 14,278.50 and 2,593.50 is: 3,890.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,519 : 14,278.50 = 2,593.50 : x
  2. Step 2: Convert to fraction form
    9,519/14,278.50 = 2,593.50/x
  3. Step 3: Cross multiply
    9,519x = 14,278.50 × 2,593.50
  4. Step 4: Simplify right side
    9,519x = 37,031,289.75
  5. Step 5: Solve for x
    x = 37,031,289.75/9,519
  6. Step 6: Final answer
    x = 3,890.25

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Double scale
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Similar ratio
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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.