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Finding the Fourth Proportional to 4,847.64, 6,703.78 and 4,760.20

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Solution

The fourth proportional to 4,847.64, 6,703.78 and 4,760.20 is: 6,582.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,847.64 : 6,703.78 = 4,760.20 : x
  2. Step 2: Convert to fraction form
    4,847.64/6,703.78 = 4,760.20/x
  3. Step 3: Cross multiply
    4,847.64x = 6,703.78 × 4,760.20
  4. Step 4: Simplify right side
    4,847.64x = 31,911,333.56
  5. Step 5: Solve for x
    x = 31,911,333.56/4,847.64
  6. Step 6: Final answer
    x = 6,582.86

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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.