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Finding the Fourth Proportional to 9,835, 14,752.62 and 2,539

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Solution

The fourth proportional to 9,835, 14,752.62 and 2,539 is: 3,808.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,835 : 14,752.62 = 2,539 : x
  2. Step 2: Convert to fraction form
    9,835/14,752.62 = 2,539/x
  3. Step 3: Cross multiply
    9,835x = 14,752.62 × 2,539
  4. Step 4: Simplify right side
    9,835x = 37,456,902.18
  5. Step 5: Solve for x
    x = 37,456,902.18/9,835
  6. Step 6: Final answer
    x = 3,808.53

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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.