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Finding the Fourth Proportional to 9,781.50, 14,662.53 and 4,578.06

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Solution

The fourth proportional to 9,781.50, 14,662.53 and 4,578.06 is: 6,862.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,781.50 : 14,662.53 = 4,578.06 : x
  2. Step 2: Convert to fraction form
    9,781.50/14,662.53 = 4,578.06/x
  3. Step 3: Cross multiply
    9,781.50x = 14,662.53 × 4,578.06
  4. Step 4: Simplify right side
    9,781.50x = 67,125,942.09
  5. Step 5: Solve for x
    x = 67,125,942.09/9,781.50
  6. Step 6: Final answer
    x = 6,862.54

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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.