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Finding the Fourth Proportional to 16,097.58, 22,209.41 and 9,381.67

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Solution

The fourth proportional to 16,097.58, 22,209.41 and 9,381.67 is: 12,943.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,097.58 : 22,209.41 = 9,381.67 : x
  2. Step 2: Convert to fraction form
    16,097.58/22,209.41 = 9,381.67/x
  3. Step 3: Cross multiply
    16,097.58x = 22,209.41 × 9,381.67
  4. Step 4: Simplify right side
    16,097.58x = 208,361,355.51
  5. Step 5: Solve for x
    x = 208,361,355.51/16,097.58
  6. Step 6: Final answer
    x = 12,943.64

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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.