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Finding the Fourth Proportional to 19,197.15, 28,791 and 8,098.13

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Solution

The fourth proportional to 19,197.15, 28,791 and 8,098.13 is: 12,145.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,197.15 : 28,791 = 8,098.13 : x
  2. Step 2: Convert to fraction form
    19,197.15/28,791 = 8,098.13/x
  3. Step 3: Cross multiply
    19,197.15x = 28,791 × 8,098.13
  4. Step 4: Simplify right side
    19,197.15x = 233,153,116.88
  5. Step 5: Solve for x
    x = 233,153,116.88/19,197.15
  6. Step 6: Final answer
    x = 12,145.19

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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.