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Finding the Fourth Proportional to 24,618.24, 36,927.89 and 7,978.23

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Solution

The fourth proportional to 24,618.24, 36,927.89 and 7,978.23 is: 11,967.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,618.24 : 36,927.89 = 7,978.23 : x
  2. Step 2: Convert to fraction form
    24,618.24/36,927.89 = 7,978.23/x
  3. Step 3: Cross multiply
    24,618.24x = 36,927.89 × 7,978.23
  4. Step 4: Simplify right side
    24,618.24x = 294,619,159.94
  5. Step 5: Solve for x
    x = 294,619,159.94/24,618.24
  6. Step 6: Final answer
    x = 11,967.52

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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.