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Finding the Fourth Proportional to 4,617.63, 6,929.21 and 1,696.23

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Solution

The fourth proportional to 4,617.63, 6,929.21 and 1,696.23 is: 2,545.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,617.63 : 6,929.21 = 1,696.23 : x
  2. Step 2: Convert to fraction form
    4,617.63/6,929.21 = 1,696.23/x
  3. Step 3: Cross multiply
    4,617.63x = 6,929.21 × 1,696.23
  4. Step 4: Simplify right side
    4,617.63x = 11,753,533.88
  5. Step 5: Solve for x
    x = 11,753,533.88/4,617.63
  6. Step 6: Final answer
    x = 2,545.36

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1.5x scale

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.