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Finding the Fourth Proportional to 10,962.50, 16,447.86 and 6,583.10

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Solution

The fourth proportional to 10,962.50, 16,447.86 and 6,583.10 is: 9,877.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,962.50 : 16,447.86 = 6,583.10 : x
  2. Step 2: Convert to fraction form
    10,962.50/16,447.86 = 6,583.10/x
  3. Step 3: Cross multiply
    10,962.50x = 16,447.86 × 6,583.10
  4. Step 4: Simplify right side
    10,962.50x = 108,277,824.93
  5. Step 5: Solve for x
    x = 108,277,824.93/10,962.50
  6. Step 6: Final answer
    x = 9,877.12

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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.