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Finding the Fourth Proportional to 10,252.29, 15,383.29 and 6,100.50

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Solution

The fourth proportional to 10,252.29, 15,383.29 and 6,100.50 is: 9,153.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,252.29 : 15,383.29 = 6,100.50 : x
  2. Step 2: Convert to fraction form
    10,252.29/15,383.29 = 6,100.50/x
  3. Step 3: Cross multiply
    10,252.29x = 15,383.29 × 6,100.50
  4. Step 4: Simplify right side
    10,252.29x = 93,845,710.58
  5. Step 5: Solve for x
    x = 93,845,710.58/10,252.29
  6. Step 6: Final answer
    x = 9,153.64

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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.