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Finding the Fourth Proportional to 9,009.74, 13,494.09 and 6,223.75

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Solution

The fourth proportional to 9,009.74, 13,494.09 and 6,223.75 is: 9,321.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,009.74 : 13,494.09 = 6,223.75 : x
  2. Step 2: Convert to fraction form
    9,009.74/13,494.09 = 6,223.75/x
  3. Step 3: Cross multiply
    9,009.74x = 13,494.09 × 6,223.75
  4. Step 4: Simplify right side
    9,009.74x = 83,983,842.64
  5. Step 5: Solve for x
    x = 83,983,842.64/9,009.74
  6. Step 6: Final answer
    x = 9,321.45

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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.