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Finding the Fourth Proportional to 6,862.75, 9,473.22 and 4,213.76

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Solution

The fourth proportional to 6,862.75, 9,473.22 and 4,213.76 is: 5,816.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,862.75 : 9,473.22 = 4,213.76 : x
  2. Step 2: Convert to fraction form
    6,862.75/9,473.22 = 4,213.76/x
  3. Step 3: Cross multiply
    6,862.75x = 9,473.22 × 4,213.76
  4. Step 4: Simplify right side
    6,862.75x = 39,917,875.51
  5. Step 5: Solve for x
    x = 39,917,875.51/6,862.75
  6. Step 6: Final answer
    x = 5,816.60

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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.