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Finding the Fourth Proportional to 24,754.64, 37,133.58 and 7,223

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Solution

The fourth proportional to 24,754.64, 37,133.58 and 7,223 is: 10,834.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,754.64 : 37,133.58 = 7,223 : x
  2. Step 2: Convert to fraction form
    24,754.64/37,133.58 = 7,223/x
  3. Step 3: Cross multiply
    24,754.64x = 37,133.58 × 7,223
  4. Step 4: Simplify right side
    24,754.64x = 268,215,848.34
  5. Step 5: Solve for x
    x = 268,215,848.34/24,754.64
  6. Step 6: Final answer
    x = 10,834.97

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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.