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Finding the Fourth Proportional to 6,557.42, 9,834.62 and 1,877.31

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Solution

The fourth proportional to 6,557.42, 9,834.62 and 1,877.31 is: 2,815.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,557.42 : 9,834.62 = 1,877.31 : x
  2. Step 2: Convert to fraction form
    6,557.42/9,834.62 = 1,877.31/x
  3. Step 3: Cross multiply
    6,557.42x = 9,834.62 × 1,877.31
  4. Step 4: Simplify right side
    6,557.42x = 18,462,621.09
  5. Step 5: Solve for x
    x = 18,462,621.09/6,557.42
  6. Step 6: Final answer
    x = 2,815.53

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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.