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Finding the Fourth Proportional to 4,475.52, 6,177 and 4,278.72

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Solution

The fourth proportional to 4,475.52, 6,177 and 4,278.72 is: 5,905.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,475.52 : 6,177 = 4,278.72 : x
  2. Step 2: Convert to fraction form
    4,475.52/6,177 = 4,278.72/x
  3. Step 3: Cross multiply
    4,475.52x = 6,177 × 4,278.72
  4. Step 4: Simplify right side
    4,475.52x = 26,429,653.44
  5. Step 5: Solve for x
    x = 26,429,653.44/4,475.52
  6. Step 6: Final answer
    x = 5,905.38

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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.