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Finding the Fourth Proportional to 6,822.66, 9,411.93 and 4,165.46

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Solution

The fourth proportional to 6,822.66, 9,411.93 and 4,165.46 is: 5,746.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,822.66 : 9,411.93 = 4,165.46 : x
  2. Step 2: Convert to fraction form
    6,822.66/9,411.93 = 4,165.46/x
  3. Step 3: Cross multiply
    6,822.66x = 9,411.93 × 4,165.46
  4. Step 4: Simplify right side
    6,822.66x = 39,204,970.88
  5. Step 5: Solve for x
    x = 39,204,970.88/6,822.66
  6. Step 6: Final answer
    x = 5,746.29

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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.