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Finding the Fourth Proportional to 15,138.10, 20,891.06 and 9,471.03

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Solution

The fourth proportional to 15,138.10, 20,891.06 and 9,471.03 is: 13,070.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,138.10 : 20,891.06 = 9,471.03 : x
  2. Step 2: Convert to fraction form
    15,138.10/20,891.06 = 9,471.03/x
  3. Step 3: Cross multiply
    15,138.10x = 20,891.06 × 9,471.03
  4. Step 4: Simplify right side
    15,138.10x = 197,859,855.99
  5. Step 5: Solve for x
    x = 197,859,855.99/15,138.10
  6. Step 6: Final answer
    x = 13,070.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.