Home / 10,730.24-14,811.36-6,758

Finding the Fourth Proportional to 10,730.24, 14,811.36 and 6,758

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Solution

The fourth proportional to 10,730.24, 14,811.36 and 6,758 is: 9,328.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,730.24 : 14,811.36 = 6,758 : x
  2. Step 2: Convert to fraction form
    10,730.24/14,811.36 = 6,758/x
  3. Step 3: Cross multiply
    10,730.24x = 14,811.36 × 6,758
  4. Step 4: Simplify right side
    10,730.24x = 100,095,170.88
  5. Step 5: Solve for x
    x = 100,095,170.88/10,730.24
  6. Step 6: Final answer
    x = 9,328.33

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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.