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Finding the Fourth Proportional to 16,400.19, 22,633.52 and 9,326.19

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Solution

The fourth proportional to 16,400.19, 22,633.52 and 9,326.19 is: 12,870.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,400.19 : 22,633.52 = 9,326.19 : x
  2. Step 2: Convert to fraction form
    16,400.19/22,633.52 = 9,326.19/x
  3. Step 3: Cross multiply
    16,400.19x = 22,633.52 × 9,326.19
  4. Step 4: Simplify right side
    16,400.19x = 211,084,461.26
  5. Step 5: Solve for x
    x = 211,084,461.26/16,400.19
  6. Step 6: Final answer
    x = 12,870.85

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Half scale
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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.