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Finding the Fourth Proportional to 6,775.47, 9,347.22 and 4,787.73

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Solution

The fourth proportional to 6,775.47, 9,347.22 and 4,787.73 is: 6,605.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,775.47 : 9,347.22 = 4,787.73 : x
  2. Step 2: Convert to fraction form
    6,775.47/9,347.22 = 4,787.73/x
  3. Step 3: Cross multiply
    6,775.47x = 9,347.22 × 4,787.73
  4. Step 4: Simplify right side
    6,775.47x = 44,751,965.61
  5. Step 5: Solve for x
    x = 44,751,965.61/6,775.47
  6. Step 6: Final answer
    x = 6,605.00

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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.