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Finding the Fourth Proportional to 10,295, 14,210.36 and 6,569

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Solution

The fourth proportional to 10,295, 14,210.36 and 6,569 is: 9,067.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,295 : 14,210.36 = 6,569 : x
  2. Step 2: Convert to fraction form
    10,295/14,210.36 = 6,569/x
  3. Step 3: Cross multiply
    10,295x = 14,210.36 × 6,569
  4. Step 4: Simplify right side
    10,295x = 93,347,854.84
  5. Step 5: Solve for x
    x = 93,347,854.84/10,295
  6. Step 6: Final answer
    x = 9,067.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.