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Finding the Fourth Proportional to 7,040.40, 9,716.05 and 3,896.58

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Solution

The fourth proportional to 7,040.40, 9,716.05 and 3,896.58 is: 5,377.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,040.40 : 9,716.05 = 3,896.58 : x
  2. Step 2: Convert to fraction form
    7,040.40/9,716.05 = 3,896.58/x
  3. Step 3: Cross multiply
    7,040.40x = 9,716.05 × 3,896.58
  4. Step 4: Simplify right side
    7,040.40x = 37,859,407.41
  5. Step 5: Solve for x
    x = 37,859,407.41/7,040.40
  6. Step 6: Final answer
    x = 5,377.45

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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.