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Finding the Fourth Proportional to 6,352.84, 9,528 and 1,969.24

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Solution

The fourth proportional to 6,352.84, 9,528 and 1,969.24 is: 2,953.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,352.84 : 9,528 = 1,969.24 : x
  2. Step 2: Convert to fraction form
    6,352.84/9,528 = 1,969.24/x
  3. Step 3: Cross multiply
    6,352.84x = 9,528 × 1,969.24
  4. Step 4: Simplify right side
    6,352.84x = 18,762,918.72
  5. Step 5: Solve for x
    x = 18,762,918.72/6,352.84
  6. Step 6: Final answer
    x = 2,953.47

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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.