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Finding the Fourth Proportional to 7,562.20, 10,435.60 and 4,765

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Solution

The fourth proportional to 7,562.20, 10,435.60 and 4,765 is: 6,575.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,562.20 : 10,435.60 = 4,765 : x
  2. Step 2: Convert to fraction form
    7,562.20/10,435.60 = 4,765/x
  3. Step 3: Cross multiply
    7,562.20x = 10,435.60 × 4,765
  4. Step 4: Simplify right side
    7,562.20x = 49,725,634
  5. Step 5: Solve for x
    x = 49,725,634/7,562.20
  6. Step 6: Final answer
    x = 6,575.55

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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.