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Finding the Fourth Proportional to 4,095, 6,142.54 and 1,017

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Solution

The fourth proportional to 4,095, 6,142.54 and 1,017 is: 1,525.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,095 : 6,142.54 = 1,017 : x
  2. Step 2: Convert to fraction form
    4,095/6,142.54 = 1,017/x
  3. Step 3: Cross multiply
    4,095x = 6,142.54 × 1,017
  4. Step 4: Simplify right side
    4,095x = 6,246,963.18
  5. Step 5: Solve for x
    x = 6,246,963.18/4,095
  6. Step 6: Final answer
    x = 1,525.51

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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.