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Finding the Fourth Proportional to 16,594.67, 22,903.80 and 9,884.22

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Solution

The fourth proportional to 16,594.67, 22,903.80 and 9,884.22 is: 13,642.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,594.67 : 22,903.80 = 9,884.22 : x
  2. Step 2: Convert to fraction form
    16,594.67/22,903.80 = 9,884.22/x
  3. Step 3: Cross multiply
    16,594.67x = 22,903.80 × 9,884.22
  4. Step 4: Simplify right side
    16,594.67x = 226,386,198.04
  5. Step 5: Solve for x
    x = 226,386,198.04/16,594.67
  6. Step 6: Final answer
    x = 13,642.11

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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.