Home / 7,032-9,705.24-4,047.66

Finding the Fourth Proportional to 7,032, 9,705.24 and 4,047.66

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Solution

The fourth proportional to 7,032, 9,705.24 and 4,047.66 is: 5,586.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,032 : 9,705.24 = 4,047.66 : x
  2. Step 2: Convert to fraction form
    7,032/9,705.24 = 4,047.66/x
  3. Step 3: Cross multiply
    7,032x = 9,705.24 × 4,047.66
  4. Step 4: Simplify right side
    7,032x = 39,283,511.74
  5. Step 5: Solve for x
    x = 39,283,511.74/7,032
  6. Step 6: Final answer
    x = 5,586.39

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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.