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Finding the Fourth Proportional to 7,035.64, 9,708.18 and 3,891.82

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Solution

The fourth proportional to 7,035.64, 9,708.18 and 3,891.82 is: 5,370.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,035.64 : 9,708.18 = 3,891.82 : x
  2. Step 2: Convert to fraction form
    7,035.64/9,708.18 = 3,891.82/x
  3. Step 3: Cross multiply
    7,035.64x = 9,708.18 × 3,891.82
  4. Step 4: Simplify right side
    7,035.64x = 37,782,489.09
  5. Step 5: Solve for x
    x = 37,782,489.09/7,035.64
  6. Step 6: Final answer
    x = 5,370.16

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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.