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Finding the Fourth Proportional to 24,642.80, 36,970.20 and 7,112.24

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Solution

The fourth proportional to 24,642.80, 36,970.20 and 7,112.24 is: 10,670.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,642.80 : 36,970.20 = 7,112.24 : x
  2. Step 2: Convert to fraction form
    24,642.80/36,970.20 = 7,112.24/x
  3. Step 3: Cross multiply
    24,642.80x = 36,970.20 × 7,112.24
  4. Step 4: Simplify right side
    24,642.80x = 262,940,935.25
  5. Step 5: Solve for x
    x = 262,940,935.25/24,642.80
  6. Step 6: Final answer
    x = 10,670.09

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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.