Home / 10,502-15,764.16-6,352.48

Finding the Fourth Proportional to 10,502, 15,764.16 and 6,352.48

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Solution

The fourth proportional to 10,502, 15,764.16 and 6,352.48 is: 9,535.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,502 : 15,764.16 = 6,352.48 : x
  2. Step 2: Convert to fraction form
    10,502/15,764.16 = 6,352.48/x
  3. Step 3: Cross multiply
    10,502x = 15,764.16 × 6,352.48
  4. Step 4: Simplify right side
    10,502x = 100,141,511.12
  5. Step 5: Solve for x
    x = 100,141,511.12/10,502
  6. Step 6: Final answer
    x = 9,535.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.