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Finding the Fourth Proportional to 10,636.29, 15,955.49 and 4,068

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Solution

The fourth proportional to 10,636.29, 15,955.49 and 4,068 is: 6,102.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,636.29 : 15,955.49 = 4,068 : x
  2. Step 2: Convert to fraction form
    10,636.29/15,955.49 = 4,068/x
  3. Step 3: Cross multiply
    10,636.29x = 15,955.49 × 4,068
  4. Step 4: Simplify right side
    10,636.29x = 64,906,943.49
  5. Step 5: Solve for x
    x = 64,906,943.49/10,636.29
  6. Step 6: Final answer
    x = 6,102.40

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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.