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Finding the Fourth Proportional to 4,927.68, 7,391.64 and 1,464.96

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Solution

The fourth proportional to 4,927.68, 7,391.64 and 1,464.96 is: 2,197.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,927.68 : 7,391.64 = 1,464.96 : x
  2. Step 2: Convert to fraction form
    4,927.68/7,391.64 = 1,464.96/x
  3. Step 3: Cross multiply
    4,927.68x = 7,391.64 × 1,464.96
  4. Step 4: Simplify right side
    4,927.68x = 10,828,456.93
  5. Step 5: Solve for x
    x = 10,828,456.93/4,927.68
  6. Step 6: Final answer
    x = 2,197.48

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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.