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Finding the Fourth Proportional to 16,490.52, 22,756.41 and 9,415.56

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Solution

The fourth proportional to 16,490.52, 22,756.41 and 9,415.56 is: 12,993.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,490.52 : 22,756.41 = 9,415.56 : x
  2. Step 2: Convert to fraction form
    16,490.52/22,756.41 = 9,415.56/x
  3. Step 3: Cross multiply
    16,490.52x = 22,756.41 × 9,415.56
  4. Step 4: Simplify right side
    16,490.52x = 214,264,343.74
  5. Step 5: Solve for x
    x = 214,264,343.74/16,490.52
  6. Step 6: Final answer
    x = 12,993.18

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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.