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Finding the Fourth Proportional to 9,715.50, 14,570.84 and 4,168.22

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Solution

The fourth proportional to 9,715.50, 14,570.84 and 4,168.22 is: 6,251.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,715.50 : 14,570.84 = 4,168.22 : x
  2. Step 2: Convert to fraction form
    9,715.50/14,570.84 = 4,168.22/x
  3. Step 3: Cross multiply
    9,715.50x = 14,570.84 × 4,168.22
  4. Step 4: Simplify right side
    9,715.50x = 60,734,373.01
  5. Step 5: Solve for x
    x = 60,734,373.01/9,715.50
  6. Step 6: Final answer
    x = 6,251.29

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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.