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Finding the Fourth Proportional to 6,549.92, 9,825.88 and 2,653.44

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Solution

The fourth proportional to 6,549.92, 9,825.88 and 2,653.44 is: 3,980.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,549.92 : 9,825.88 = 2,653.44 : x
  2. Step 2: Convert to fraction form
    6,549.92/9,825.88 = 2,653.44/x
  3. Step 3: Cross multiply
    6,549.92x = 9,825.88 × 2,653.44
  4. Step 4: Simplify right side
    6,549.92x = 26,072,383.03
  5. Step 5: Solve for x
    x = 26,072,383.03/6,549.92
  6. Step 6: Final answer
    x = 3,980.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.