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Finding the Fourth Proportional to 7,224.78, 10,853.58 and 4,764.41

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Solution

The fourth proportional to 7,224.78, 10,853.58 and 4,764.41 is: 7,157.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,224.78 : 10,853.58 = 4,764.41 : x
  2. Step 2: Convert to fraction form
    7,224.78/10,853.58 = 4,764.41/x
  3. Step 3: Cross multiply
    7,224.78x = 10,853.58 × 4,764.41
  4. Step 4: Simplify right side
    7,224.78x = 51,710,905.09
  5. Step 5: Solve for x
    x = 51,710,905.09/7,224.78
  6. Step 6: Final answer
    x = 7,157.44

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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.