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Finding the Fourth Proportional to 24,822.32, 37,233.92 and 7,292.64

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Solution

The fourth proportional to 24,822.32, 37,233.92 and 7,292.64 is: 10,939.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,822.32 : 37,233.92 = 7,292.64 : x
  2. Step 2: Convert to fraction form
    24,822.32/37,233.92 = 7,292.64/x
  3. Step 3: Cross multiply
    24,822.32x = 37,233.92 × 7,292.64
  4. Step 4: Simplify right side
    24,822.32x = 271,533,574.35
  5. Step 5: Solve for x
    x = 271,533,574.35/24,822.32
  6. Step 6: Final answer
    x = 10,939.09

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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.