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Finding the Fourth Proportional to 9,103.65, 13,659.66 and 4,174.80

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Solution

The fourth proportional to 9,103.65, 13,659.66 and 4,174.80 is: 6,264.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,103.65 : 13,659.66 = 4,174.80 : x
  2. Step 2: Convert to fraction form
    9,103.65/13,659.66 = 4,174.80/x
  3. Step 3: Cross multiply
    9,103.65x = 13,659.66 × 4,174.80
  4. Step 4: Simplify right side
    9,103.65x = 57,026,348.57
  5. Step 5: Solve for x
    x = 57,026,348.57/9,103.65
  6. Step 6: Final answer
    x = 6,264.12

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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.