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Finding the Fourth Proportional to 12,775.47, 19,163.19 and 3,541.47

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Solution

The fourth proportional to 12,775.47, 19,163.19 and 3,541.47 is: 5,312.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,775.47 : 19,163.19 = 3,541.47 : x
  2. Step 2: Convert to fraction form
    12,775.47/19,163.19 = 3,541.47/x
  3. Step 3: Cross multiply
    12,775.47x = 19,163.19 × 3,541.47
  4. Step 4: Simplify right side
    12,775.47x = 67,865,862.49
  5. Step 5: Solve for x
    x = 67,865,862.49/12,775.47
  6. Step 6: Final answer
    x = 5,312.20

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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.