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Finding the Fourth Proportional to 16,339.48, 22,545 and 9,622.64

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Solution

The fourth proportional to 16,339.48, 22,545 and 9,622.64 is: 13,277.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,339.48 : 22,545 = 9,622.64 : x
  2. Step 2: Convert to fraction form
    16,339.48/22,545 = 9,622.64/x
  3. Step 3: Cross multiply
    16,339.48x = 22,545 × 9,622.64
  4. Step 4: Simplify right side
    16,339.48x = 216,942,418.80
  5. Step 5: Solve for x
    x = 216,942,418.80/16,339.48
  6. Step 6: Final answer
    x = 13,277.19

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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.