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Finding the Fourth Proportional to 6,852.31, 9,456.14 and 3,868.07

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Solution

The fourth proportional to 6,852.31, 9,456.14 and 3,868.07 is: 5,337.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,852.31 : 9,456.14 = 3,868.07 : x
  2. Step 2: Convert to fraction form
    6,852.31/9,456.14 = 3,868.07/x
  3. Step 3: Cross multiply
    6,852.31x = 9,456.14 × 3,868.07
  4. Step 4: Simplify right side
    6,852.31x = 36,576,973.84
  5. Step 5: Solve for x
    x = 36,576,973.84/6,852.31
  6. Step 6: Final answer
    x = 5,337.91

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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.