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Finding the Fourth Proportional to 7,159, 9,883.62 and 4,508.68

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Solution

The fourth proportional to 7,159, 9,883.62 and 4,508.68 is: 6,224.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,159 : 9,883.62 = 4,508.68 : x
  2. Step 2: Convert to fraction form
    7,159/9,883.62 = 4,508.68/x
  3. Step 3: Cross multiply
    7,159x = 9,883.62 × 4,508.68
  4. Step 4: Simplify right side
    7,159x = 44,562,079.82
  5. Step 5: Solve for x
    x = 44,562,079.82/7,159
  6. Step 6: Final answer
    x = 6,224.62

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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.