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Finding the Fourth Proportional to 13,182.02, 19,775.19 and 6,252.74

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Solution

The fourth proportional to 13,182.02, 19,775.19 and 6,252.74 is: 9,380.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,182.02 : 19,775.19 = 6,252.74 : x
  2. Step 2: Convert to fraction form
    13,182.02/19,775.19 = 6,252.74/x
  3. Step 3: Cross multiply
    13,182.02x = 19,775.19 × 6,252.74
  4. Step 4: Simplify right side
    13,182.02x = 123,649,121.52
  5. Step 5: Solve for x
    x = 123,649,121.52/13,182.02
  6. Step 6: Final answer
    x = 9,380.13

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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.