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Finding the Fourth Proportional to 9,224.35, 13,835.04 and 2,649.04

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Solution

The fourth proportional to 9,224.35, 13,835.04 and 2,649.04 is: 3,973.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,224.35 : 13,835.04 = 2,649.04 : x
  2. Step 2: Convert to fraction form
    9,224.35/13,835.04 = 2,649.04/x
  3. Step 3: Cross multiply
    9,224.35x = 13,835.04 × 2,649.04
  4. Step 4: Simplify right side
    9,224.35x = 36,649,574.36
  5. Step 5: Solve for x
    x = 36,649,574.36/9,224.35
  6. Step 6: Final answer
    x = 3,973.13

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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.