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Finding the Fourth Proportional to 10,570.50, 15,855.14 and 3,174.80

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Solution

The fourth proportional to 10,570.50, 15,855.14 and 3,174.80 is: 4,762.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,570.50 : 15,855.14 = 3,174.80 : x
  2. Step 2: Convert to fraction form
    10,570.50/15,855.14 = 3,174.80/x
  3. Step 3: Cross multiply
    10,570.50x = 15,855.14 × 3,174.80
  4. Step 4: Simplify right side
    10,570.50x = 50,336,827.13
  5. Step 5: Solve for x
    x = 50,336,827.13/10,570.50
  6. Step 6: Final answer
    x = 4,762.01

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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.