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Finding the Fourth Proportional to 6,557.83, 9,833.10 and 2,657.68

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Solution

The fourth proportional to 6,557.83, 9,833.10 and 2,657.68 is: 3,985.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,557.83 : 9,833.10 = 2,657.68 : x
  2. Step 2: Convert to fraction form
    6,557.83/9,833.10 = 2,657.68/x
  3. Step 3: Cross multiply
    6,557.83x = 9,833.10 × 2,657.68
  4. Step 4: Simplify right side
    6,557.83x = 26,133,198.66
  5. Step 5: Solve for x
    x = 26,133,198.66/6,557.83
  6. Step 6: Final answer
    x = 3,985.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.