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Finding the Fourth Proportional to 6,292, 9,474.70 and 4,660.12

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Solution

The fourth proportional to 6,292, 9,474.70 and 4,660.12 is: 7,017.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,292 : 9,474.70 = 4,660.12 : x
  2. Step 2: Convert to fraction form
    6,292/9,474.70 = 4,660.12/x
  3. Step 3: Cross multiply
    6,292x = 9,474.70 × 4,660.12
  4. Step 4: Simplify right side
    6,292x = 44,153,238.96
  5. Step 5: Solve for x
    x = 44,153,238.96/6,292
  6. Step 6: Final answer
    x = 7,017.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.