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Finding the Fourth Proportional to 4,101, 6,151.62 and 1,023

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Solution

The fourth proportional to 4,101, 6,151.62 and 1,023 is: 1,534.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,101 : 6,151.62 = 1,023 : x
  2. Step 2: Convert to fraction form
    4,101/6,151.62 = 1,023/x
  3. Step 3: Cross multiply
    4,101x = 6,151.62 × 1,023
  4. Step 4: Simplify right side
    4,101x = 6,293,107.26
  5. Step 5: Solve for x
    x = 6,293,107.26/4,101
  6. Step 6: Final answer
    x = 1,534.53

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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.