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Finding the Fourth Proportional to 4,998.42, 6,898.66 and 4,776.98

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Solution

The fourth proportional to 4,998.42, 6,898.66 and 4,776.98 is: 6,593.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,998.42 : 6,898.66 = 4,776.98 : x
  2. Step 2: Convert to fraction form
    4,998.42/6,898.66 = 4,776.98/x
  3. Step 3: Cross multiply
    4,998.42x = 6,898.66 × 4,776.98
  4. Step 4: Simplify right side
    4,998.42x = 32,954,760.85
  5. Step 5: Solve for x
    x = 32,954,760.85/4,998.42
  6. Step 6: Final answer
    x = 6,593.04

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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.