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Finding the Fourth Proportional to 24,858.44, 37,287.66 and 6,389

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Solution

The fourth proportional to 24,858.44, 37,287.66 and 6,389 is: 9,583.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,858.44 : 37,287.66 = 6,389 : x
  2. Step 2: Convert to fraction form
    24,858.44/37,287.66 = 6,389/x
  3. Step 3: Cross multiply
    24,858.44x = 37,287.66 × 6,389
  4. Step 4: Simplify right side
    24,858.44x = 238,230,859.74
  5. Step 5: Solve for x
    x = 238,230,859.74/24,858.44
  6. Step 6: Final answer
    x = 9,583.50

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1.5x scale

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.