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Finding the Fourth Proportional to 24,565, 36,847.74 and 6,097

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Solution

The fourth proportional to 24,565, 36,847.74 and 6,097 is: 9,145.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,565 : 36,847.74 = 6,097 : x
  2. Step 2: Convert to fraction form
    24,565/36,847.74 = 6,097/x
  3. Step 3: Cross multiply
    24,565x = 36,847.74 × 6,097
  4. Step 4: Simplify right side
    24,565x = 224,660,670.78
  5. Step 5: Solve for x
    x = 224,660,670.78/24,565
  6. Step 6: Final answer
    x = 9,145.56

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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.