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Finding the Fourth Proportional to 24,510, 36,765 and 6,042

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Solution

The fourth proportional to 24,510, 36,765 and 6,042 is: 9,063

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,510 : 36,765 = 6,042 : x
  2. Step 2: Convert to fraction form
    24,510/36,765 = 6,042/x
  3. Step 3: Cross multiply
    24,510x = 36,765 × 6,042
  4. Step 4: Simplify right side
    24,510x = 222,134,130
  5. Step 5: Solve for x
    x = 222,134,130/24,510
  6. Step 6: Final answer
    x = 9,063

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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.