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Finding the Fourth Proportional to 25,174.86, 37,762.68 and 6,454.50

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Solution

The fourth proportional to 25,174.86, 37,762.68 and 6,454.50 is: 9,681.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,174.86 : 37,762.68 = 6,454.50 : x
  2. Step 2: Convert to fraction form
    25,174.86/37,762.68 = 6,454.50/x
  3. Step 3: Cross multiply
    25,174.86x = 37,762.68 × 6,454.50
  4. Step 4: Simplify right side
    25,174.86x = 243,739,218.06
  5. Step 5: Solve for x
    x = 243,739,218.06/25,174.86
  6. Step 6: Final answer
    x = 9,681.85

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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.