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Finding the Fourth Proportional to 6,552.32, 9,829.04 and 1,872.23

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Solution

The fourth proportional to 6,552.32, 9,829.04 and 1,872.23 is: 2,808.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,552.32 : 9,829.04 = 1,872.23 : x
  2. Step 2: Convert to fraction form
    6,552.32/9,829.04 = 1,872.23/x
  3. Step 3: Cross multiply
    6,552.32x = 9,829.04 × 1,872.23
  4. Step 4: Simplify right side
    6,552.32x = 18,402,165.05
  5. Step 5: Solve for x
    x = 18,402,165.05/6,552.32
  6. Step 6: Final answer
    x = 2,808.50

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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.