Home / 9,731.24-14,596.32-8,648

Finding the Fourth Proportional to 9,731.24, 14,596.32 and 8,648

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Solution

The fourth proportional to 9,731.24, 14,596.32 and 8,648 is: 12,971.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,731.24 : 14,596.32 = 8,648 : x
  2. Step 2: Convert to fraction form
    9,731.24/14,596.32 = 8,648/x
  3. Step 3: Cross multiply
    9,731.24x = 14,596.32 × 8,648
  4. Step 4: Simplify right side
    9,731.24x = 126,228,975.36
  5. Step 5: Solve for x
    x = 126,228,975.36/9,731.24
  6. Step 6: Final answer
    x = 12,971.52

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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.