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Finding the Fourth Proportional to 13,290, 18,342.36 and 7,704.24

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Solution

The fourth proportional to 13,290, 18,342.36 and 7,704.24 is: 10,633.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,290 : 18,342.36 = 7,704.24 : x
  2. Step 2: Convert to fraction form
    13,290/18,342.36 = 7,704.24/x
  3. Step 3: Cross multiply
    13,290x = 18,342.36 × 7,704.24
  4. Step 4: Simplify right side
    13,290x = 141,313,943.61
  5. Step 5: Solve for x
    x = 141,313,943.61/13,290
  6. Step 6: Final answer
    x = 10,633.10

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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.