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Finding the Fourth Proportional to 24,807.98, 37,212.31 and 7,278.16

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Solution

The fourth proportional to 24,807.98, 37,212.31 and 7,278.16 is: 10,917.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,807.98 : 37,212.31 = 7,278.16 : x
  2. Step 2: Convert to fraction form
    24,807.98/37,212.31 = 7,278.16/x
  3. Step 3: Cross multiply
    24,807.98x = 37,212.31 × 7,278.16
  4. Step 4: Simplify right side
    24,807.98x = 270,837,146.15
  5. Step 5: Solve for x
    x = 270,837,146.15/24,807.98
  6. Step 6: Final answer
    x = 10,917.34

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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.