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Finding the Fourth Proportional to 6,707.67, 9,256.62 and 4,191.24

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Solution

The fourth proportional to 6,707.67, 9,256.62 and 4,191.24 is: 5,783.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,707.67 : 9,256.62 = 4,191.24 : x
  2. Step 2: Convert to fraction form
    6,707.67/9,256.62 = 4,191.24/x
  3. Step 3: Cross multiply
    6,707.67x = 9,256.62 × 4,191.24
  4. Step 4: Simplify right side
    6,707.67x = 38,796,716.01
  5. Step 5: Solve for x
    x = 38,796,716.01/6,707.67
  6. Step 6: Final answer
    x = 5,783.93

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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.