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Finding the Fourth Proportional to 6,802.52, 10,203.84 and 3,102.17

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Solution

The fourth proportional to 6,802.52, 10,203.84 and 3,102.17 is: 4,653.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,802.52 : 10,203.84 = 3,102.17 : x
  2. Step 2: Convert to fraction form
    6,802.52/10,203.84 = 3,102.17/x
  3. Step 3: Cross multiply
    6,802.52x = 10,203.84 × 3,102.17
  4. Step 4: Simplify right side
    6,802.52x = 31,653,995.31
  5. Step 5: Solve for x
    x = 31,653,995.31/6,802.52
  6. Step 6: Final answer
    x = 4,653.28

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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.