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Finding the Fourth Proportional to 6,787.50, 9,365.94 and 3,955.50

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Solution

The fourth proportional to 6,787.50, 9,365.94 and 3,955.50 is: 5,458.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,787.50 : 9,365.94 = 3,955.50 : x
  2. Step 2: Convert to fraction form
    6,787.50/9,365.94 = 3,955.50/x
  3. Step 3: Cross multiply
    6,787.50x = 9,365.94 × 3,955.50
  4. Step 4: Simplify right side
    6,787.50x = 37,046,975.67
  5. Step 5: Solve for x
    x = 37,046,975.67/6,787.50
  6. Step 6: Final answer
    x = 5,458.12

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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.