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Finding the Fourth Proportional to 13,796, 20,696.16 and 4,564.16

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Solution

The fourth proportional to 13,796, 20,696.16 and 4,564.16 is: 6,846.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,796 : 20,696.16 = 4,564.16 : x
  2. Step 2: Convert to fraction form
    13,796/20,696.16 = 4,564.16/x
  3. Step 3: Cross multiply
    13,796x = 20,696.16 × 4,564.16
  4. Step 4: Simplify right side
    13,796x = 94,460,585.63
  5. Step 5: Solve for x
    x = 94,460,585.63/13,796
  6. Step 6: Final answer
    x = 6,846.95

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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.