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Finding the Fourth Proportional to 6,552, 9,829.62 and 1,935

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Solution

The fourth proportional to 6,552, 9,829.62 and 1,935 is: 2,902.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,552 : 9,829.62 = 1,935 : x
  2. Step 2: Convert to fraction form
    6,552/9,829.62 = 1,935/x
  3. Step 3: Cross multiply
    6,552x = 9,829.62 × 1,935
  4. Step 4: Simplify right side
    6,552x = 19,020,314.70
  5. Step 5: Solve for x
    x = 19,020,314.70/6,552
  6. Step 6: Final answer
    x = 2,902.98

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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.