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Finding the Fourth Proportional to 6,866.96, 9,469.31 and 5,875.52

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Solution

The fourth proportional to 6,866.96, 9,469.31 and 5,875.52 is: 8,102.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,866.96 : 9,469.31 = 5,875.52 : x
  2. Step 2: Convert to fraction form
    6,866.96/9,469.31 = 5,875.52/x
  3. Step 3: Cross multiply
    6,866.96x = 9,469.31 × 5,875.52
  4. Step 4: Simplify right side
    6,866.96x = 55,637,043.57
  5. Step 5: Solve for x
    x = 55,637,043.57/6,866.96
  6. Step 6: Final answer
    x = 8,102.14

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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.