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Finding the Fourth Proportional to 4,921.42, 6,777.04 and 4,397.26

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Solution

The fourth proportional to 4,921.42, 6,777.04 and 4,397.26 is: 6,055.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,921.42 : 6,777.04 = 4,397.26 : x
  2. Step 2: Convert to fraction form
    4,921.42/6,777.04 = 4,397.26/x
  3. Step 3: Cross multiply
    4,921.42x = 6,777.04 × 4,397.26
  4. Step 4: Simplify right side
    4,921.42x = 29,800,351.04
  5. Step 5: Solve for x
    x = 29,800,351.04/4,921.42
  6. Step 6: Final answer
    x = 6,055.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.