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Finding the Fourth Proportional to 9,247.75, 13,870.24 and 3,402.99

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Solution

The fourth proportional to 9,247.75, 13,870.24 and 3,402.99 is: 5,103.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,247.75 : 13,870.24 = 3,402.99 : x
  2. Step 2: Convert to fraction form
    9,247.75/13,870.24 = 3,402.99/x
  3. Step 3: Cross multiply
    9,247.75x = 13,870.24 × 3,402.99
  4. Step 4: Simplify right side
    9,247.75x = 47,200,279.51
  5. Step 5: Solve for x
    x = 47,200,279.51/9,247.75
  6. Step 6: Final answer
    x = 5,103.98

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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.