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Finding the Fourth Proportional to 6,552.07, 9,828.14 and 1,872.16

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Solution

The fourth proportional to 6,552.07, 9,828.14 and 1,872.16 is: 2,808.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,552.07 : 9,828.14 = 1,872.16 : x
  2. Step 2: Convert to fraction form
    6,552.07/9,828.14 = 1,872.16/x
  3. Step 3: Cross multiply
    6,552.07x = 9,828.14 × 1,872.16
  4. Step 4: Simplify right side
    6,552.07x = 18,399,850.58
  5. Step 5: Solve for x
    x = 18,399,850.58/6,552.07
  6. Step 6: Final answer
    x = 2,808.25

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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.