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Finding the Fourth Proportional to 9,860.61, 14,793 and 2,840.56

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Solution

The fourth proportional to 9,860.61, 14,793 and 2,840.56 is: 4,261.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,860.61 : 14,793 = 2,840.56 : x
  2. Step 2: Convert to fraction form
    9,860.61/14,793 = 2,840.56/x
  3. Step 3: Cross multiply
    9,860.61x = 14,793 × 2,840.56
  4. Step 4: Simplify right side
    9,860.61x = 42,020,404.08
  5. Step 5: Solve for x
    x = 42,020,404.08/9,860.61
  6. Step 6: Final answer
    x = 4,261.44

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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.