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Finding the Fourth Proportional to 7,134, 9,844.92 and 4,650

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Solution

The fourth proportional to 7,134, 9,844.92 and 4,650 is: 6,417

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,134 : 9,844.92 = 4,650 : x
  2. Step 2: Convert to fraction form
    7,134/9,844.92 = 4,650/x
  3. Step 3: Cross multiply
    7,134x = 9,844.92 × 4,650
  4. Step 4: Simplify right side
    7,134x = 45,778,878
  5. Step 5: Solve for x
    x = 45,778,878/7,134
  6. Step 6: Final answer
    x = 6,417

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.