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Finding the Fourth Proportional to 15,002.26, 20,703.10 and 8,378.26

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Solution

The fourth proportional to 15,002.26, 20,703.10 and 8,378.26 is: 11,561.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,002.26 : 20,703.10 = 8,378.26 : x
  2. Step 2: Convert to fraction form
    15,002.26/20,703.10 = 8,378.26/x
  3. Step 3: Cross multiply
    15,002.26x = 20,703.10 × 8,378.26
  4. Step 4: Simplify right side
    15,002.26x = 173,455,954.61
  5. Step 5: Solve for x
    x = 173,455,954.61/15,002.26
  6. Step 6: Final answer
    x = 11,561.99

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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.