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Finding the Fourth Proportional to 6,552, 9,828 and 1,935.36

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Solution

The fourth proportional to 6,552, 9,828 and 1,935.36 is: 2,903.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,552 : 9,828 = 1,935.36 : x
  2. Step 2: Convert to fraction form
    6,552/9,828 = 1,935.36/x
  3. Step 3: Cross multiply
    6,552x = 9,828 × 1,935.36
  4. Step 4: Simplify right side
    6,552x = 19,020,718.08
  5. Step 5: Solve for x
    x = 19,020,718.08/6,552
  6. Step 6: Final answer
    x = 2,903.04

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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.