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Finding the Fourth Proportional to 4,951.76, 6,832.62 and 3,064.59

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Solution

The fourth proportional to 4,951.76, 6,832.62 and 3,064.59 is: 4,228.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,951.76 : 6,832.62 = 3,064.59 : x
  2. Step 2: Convert to fraction form
    4,951.76/6,832.62 = 3,064.59/x
  3. Step 3: Cross multiply
    4,951.76x = 6,832.62 × 3,064.59
  4. Step 4: Simplify right side
    4,951.76x = 20,939,178.93
  5. Step 5: Solve for x
    x = 20,939,178.93/4,951.76
  6. Step 6: Final answer
    x = 4,228.64

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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.