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Finding the Fourth Proportional to 6,705.75, 9,253.77 and 3,721.50

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Solution

The fourth proportional to 6,705.75, 9,253.77 and 3,721.50 is: 5,135.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,705.75 : 9,253.77 = 3,721.50 : x
  2. Step 2: Convert to fraction form
    6,705.75/9,253.77 = 3,721.50/x
  3. Step 3: Cross multiply
    6,705.75x = 9,253.77 × 3,721.50
  4. Step 4: Simplify right side
    6,705.75x = 34,437,905.06
  5. Step 5: Solve for x
    x = 34,437,905.06/6,705.75
  6. Step 6: Final answer
    x = 5,135.58

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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.