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Finding the Fourth Proportional to 7,025.81, 9,696.12 and 3,881.93

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Solution

The fourth proportional to 7,025.81, 9,696.12 and 3,881.93 is: 5,357.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,025.81 : 9,696.12 = 3,881.93 : x
  2. Step 2: Convert to fraction form
    7,025.81/9,696.12 = 3,881.93/x
  3. Step 3: Cross multiply
    7,025.81x = 9,696.12 × 3,881.93
  4. Step 4: Simplify right side
    7,025.81x = 37,639,659.11
  5. Step 5: Solve for x
    x = 37,639,659.11/7,025.81
  6. Step 6: Final answer
    x = 5,357.34

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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.