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Finding the Fourth Proportional to 4,900.56, 6,775.38 and 4,829.82

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Solution

The fourth proportional to 4,900.56, 6,775.38 and 4,829.82 is: 6,677.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,900.56 : 6,775.38 = 4,829.82 : x
  2. Step 2: Convert to fraction form
    4,900.56/6,775.38 = 4,829.82/x
  3. Step 3: Cross multiply
    4,900.56x = 6,775.38 × 4,829.82
  4. Step 4: Simplify right side
    4,900.56x = 32,723,865.83
  5. Step 5: Solve for x
    x = 32,723,865.83/4,900.56
  6. Step 6: Final answer
    x = 6,677.58

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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.