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Finding the Fourth Proportional to 9,971.64, 14,948.82 and 5,859

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Solution

The fourth proportional to 9,971.64, 14,948.82 and 5,859 is: 8,783.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,971.64 : 14,948.82 = 5,859 : x
  2. Step 2: Convert to fraction form
    9,971.64/14,948.82 = 5,859/x
  3. Step 3: Cross multiply
    9,971.64x = 14,948.82 × 5,859
  4. Step 4: Simplify right side
    9,971.64x = 87,585,136.38
  5. Step 5: Solve for x
    x = 87,585,136.38/9,971.64
  6. Step 6: Final answer
    x = 8,783.42

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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.