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Finding the Fourth Proportional to 13,143.80, 19,715.70 and 10,206.20

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Solution

The fourth proportional to 13,143.80, 19,715.70 and 10,206.20 is: 15,309.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,143.80 : 19,715.70 = 10,206.20 : x
  2. Step 2: Convert to fraction form
    13,143.80/19,715.70 = 10,206.20/x
  3. Step 3: Cross multiply
    13,143.80x = 19,715.70 × 10,206.20
  4. Step 4: Simplify right side
    13,143.80x = 201,222,377.34
  5. Step 5: Solve for x
    x = 201,222,377.34/13,143.80
  6. Step 6: Final answer
    x = 15,309.30

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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.