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Finding the Fourth Proportional to 24,769, 37,155.66 and 6,301

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Solution

The fourth proportional to 24,769, 37,155.66 and 6,301 is: 9,452.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,769 : 37,155.66 = 6,301 : x
  2. Step 2: Convert to fraction form
    24,769/37,155.66 = 6,301/x
  3. Step 3: Cross multiply
    24,769x = 37,155.66 × 6,301
  4. Step 4: Simplify right side
    24,769x = 234,117,813.66
  5. Step 5: Solve for x
    x = 234,117,813.66/24,769
  6. Step 6: Final answer
    x = 9,452.05

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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.