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Finding the Fourth Proportional to 13,143.60, 19,708.20 and 5,343.60

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Solution

The fourth proportional to 13,143.60, 19,708.20 and 5,343.60 is: 8,012.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,143.60 : 19,708.20 = 5,343.60 : x
  2. Step 2: Convert to fraction form
    13,143.60/19,708.20 = 5,343.60/x
  3. Step 3: Cross multiply
    13,143.60x = 19,708.20 × 5,343.60
  4. Step 4: Simplify right side
    13,143.60x = 105,312,737.52
  5. Step 5: Solve for x
    x = 105,312,737.52/13,143.60
  6. Step 6: Final answer
    x = 8,012.47

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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.