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Finding the Fourth Proportional to 7,558, 10,429.95 and 4,327.39

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Solution

The fourth proportional to 7,558, 10,429.95 and 4,327.39 is: 5,971.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,558 : 10,429.95 = 4,327.39 : x
  2. Step 2: Convert to fraction form
    7,558/10,429.95 = 4,327.39/x
  3. Step 3: Cross multiply
    7,558x = 10,429.95 × 4,327.39
  4. Step 4: Simplify right side
    7,558x = 45,134,461.33
  5. Step 5: Solve for x
    x = 45,134,461.33/7,558
  6. Step 6: Final answer
    x = 5,971.75

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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.