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Finding the Fourth Proportional to 10,296, 14,210.28 and 6,104.52

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Solution

The fourth proportional to 10,296, 14,210.28 and 6,104.52 is: 8,425.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,296 : 14,210.28 = 6,104.52 : x
  2. Step 2: Convert to fraction form
    10,296/14,210.28 = 6,104.52/x
  3. Step 3: Cross multiply
    10,296x = 14,210.28 × 6,104.52
  4. Step 4: Simplify right side
    10,296x = 86,746,938.47
  5. Step 5: Solve for x
    x = 86,746,938.47/10,296
  6. Step 6: Final answer
    x = 8,425.30

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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.