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Finding the Fourth Proportional to 6,557.98, 9,835.47 and 1,877.90

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Solution

The fourth proportional to 6,557.98, 9,835.47 and 1,877.90 is: 2,816.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,557.98 : 9,835.47 = 1,877.90 : x
  2. Step 2: Convert to fraction form
    6,557.98/9,835.47 = 1,877.90/x
  3. Step 3: Cross multiply
    6,557.98x = 9,835.47 × 1,877.90
  4. Step 4: Simplify right side
    6,557.98x = 18,470,029.11
  5. Step 5: Solve for x
    x = 18,470,029.11/6,557.98
  6. Step 6: Final answer
    x = 2,816.42

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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.