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Finding the Fourth Proportional to 9,206.66, 13,809.99 and 2,281.16

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Solution

The fourth proportional to 9,206.66, 13,809.99 and 2,281.16 is: 3,421.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,206.66 : 13,809.99 = 2,281.16 : x
  2. Step 2: Convert to fraction form
    9,206.66/13,809.99 = 2,281.16/x
  3. Step 3: Cross multiply
    9,206.66x = 13,809.99 × 2,281.16
  4. Step 4: Simplify right side
    9,206.66x = 31,502,716.33
  5. Step 5: Solve for x
    x = 31,502,716.33/9,206.66
  6. Step 6: Final answer
    x = 3,421.73

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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.