Home / 6,964-9,610.32-3,820.24

Finding the Fourth Proportional to 6,964, 9,610.32 and 3,820.24

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Solution

The fourth proportional to 6,964, 9,610.32 and 3,820.24 is: 5,271.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,964 : 9,610.32 = 3,820.24 : x
  2. Step 2: Convert to fraction form
    6,964/9,610.32 = 3,820.24/x
  3. Step 3: Cross multiply
    6,964x = 9,610.32 × 3,820.24
  4. Step 4: Simplify right side
    6,964x = 36,713,728.88
  5. Step 5: Solve for x
    x = 36,713,728.88/6,964
  6. Step 6: Final answer
    x = 5,271.93

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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.