Home / 6,509.28-9,765.59-1,829.30

Finding the Fourth Proportional to 6,509.28, 9,765.59 and 1,829.30

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Solution

The fourth proportional to 6,509.28, 9,765.59 and 1,829.30 is: 2,744.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.28 : 9,765.59 = 1,829.30 : x
  2. Step 2: Convert to fraction form
    6,509.28/9,765.59 = 1,829.30/x
  3. Step 3: Cross multiply
    6,509.28x = 9,765.59 × 1,829.30
  4. Step 4: Simplify right side
    6,509.28x = 17,864,193.79
  5. Step 5: Solve for x
    x = 17,864,193.79/6,509.28
  6. Step 6: Final answer
    x = 2,744.42

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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.