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Finding the Fourth Proportional to 7,248.37, 9,927.81 and 6,822.82

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Solution

The fourth proportional to 7,248.37, 9,927.81 and 6,822.82 is: 9,344.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,248.37 : 9,927.81 = 6,822.82 : x
  2. Step 2: Convert to fraction form
    7,248.37/9,927.81 = 6,822.82/x
  3. Step 3: Cross multiply
    7,248.37x = 9,927.81 × 6,822.82
  4. Step 4: Simplify right side
    7,248.37x = 67,735,643.57
  5. Step 5: Solve for x
    x = 67,735,643.57/7,248.37
  6. Step 6: Final answer
    x = 9,344.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.