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Finding the Fourth Proportional to 16,229, 24,326.04 and 6,866.84

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Solution

The fourth proportional to 16,229, 24,326.04 and 6,866.84 is: 10,292.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,229 : 24,326.04 = 6,866.84 : x
  2. Step 2: Convert to fraction form
    16,229/24,326.04 = 6,866.84/x
  3. Step 3: Cross multiply
    16,229x = 24,326.04 × 6,866.84
  4. Step 4: Simplify right side
    16,229x = 167,043,024.51
  5. Step 5: Solve for x
    x = 167,043,024.51/16,229
  6. Step 6: Final answer
    x = 10,292.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.