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Finding the Fourth Proportional to 9,143.50, 13,715.25 and 2,987.50

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Solution

The fourth proportional to 9,143.50, 13,715.25 and 2,987.50 is: 4,481.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,143.50 : 13,715.25 = 2,987.50 : x
  2. Step 2: Convert to fraction form
    9,143.50/13,715.25 = 2,987.50/x
  3. Step 3: Cross multiply
    9,143.50x = 13,715.25 × 2,987.50
  4. Step 4: Simplify right side
    9,143.50x = 40,974,309.38
  5. Step 5: Solve for x
    x = 40,974,309.38/9,143.50
  6. Step 6: Final answer
    x = 4,481.25

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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.