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Finding the Fourth Proportional to 13,862.65, 20,802.20 and 5,103.71

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Solution

The fourth proportional to 13,862.65, 20,802.20 and 5,103.71 is: 7,658.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,862.65 : 20,802.20 = 5,103.71 : x
  2. Step 2: Convert to fraction form
    13,862.65/20,802.20 = 5,103.71/x
  3. Step 3: Cross multiply
    13,862.65x = 20,802.20 × 5,103.71
  4. Step 4: Simplify right side
    13,862.65x = 106,168,408.92
  5. Step 5: Solve for x
    x = 106,168,408.92/13,862.65
  6. Step 6: Final answer
    x = 7,658.60

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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.