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Finding the Fourth Proportional to 6,684.40, 9,224.08 and 3,700.06

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Solution

The fourth proportional to 6,684.40, 9,224.08 and 3,700.06 is: 5,105.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,684.40 : 9,224.08 = 3,700.06 : x
  2. Step 2: Convert to fraction form
    6,684.40/9,224.08 = 3,700.06/x
  3. Step 3: Cross multiply
    6,684.40x = 9,224.08 × 3,700.06
  4. Step 4: Simplify right side
    6,684.40x = 34,129,617.13
  5. Step 5: Solve for x
    x = 34,129,617.13/6,684.40
  6. Step 6: Final answer
    x = 5,105.86

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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.