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Finding the Fourth Proportional to 6,057.76, 8,357.64 and 3,787.57

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Solution

The fourth proportional to 6,057.76, 8,357.64 and 3,787.57 is: 5,225.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,057.76 : 8,357.64 = 3,787.57 : x
  2. Step 2: Convert to fraction form
    6,057.76/8,357.64 = 3,787.57/x
  3. Step 3: Cross multiply
    6,057.76x = 8,357.64 × 3,787.57
  4. Step 4: Simplify right side
    6,057.76x = 31,655,146.53
  5. Step 5: Solve for x
    x = 31,655,146.53/6,057.76
  6. Step 6: Final answer
    x = 5,225.55

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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.