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Finding the Fourth Proportional to 6,707.51, 9,256.24 and 3,723.47

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Solution

The fourth proportional to 6,707.51, 9,256.24 and 3,723.47 is: 5,138.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,707.51 : 9,256.24 = 3,723.47 : x
  2. Step 2: Convert to fraction form
    6,707.51/9,256.24 = 3,723.47/x
  3. Step 3: Cross multiply
    6,707.51x = 9,256.24 × 3,723.47
  4. Step 4: Simplify right side
    6,707.51x = 34,465,331.95
  5. Step 5: Solve for x
    x = 34,465,331.95/6,707.51
  6. Step 6: Final answer
    x = 5,138.32

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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.