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Finding the Fourth Proportional to 6,508.69, 9,762.18 and 1,829.05

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Solution

The fourth proportional to 6,508.69, 9,762.18 and 1,829.05 is: 2,743.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,508.69 : 9,762.18 = 1,829.05 : x
  2. Step 2: Convert to fraction form
    6,508.69/9,762.18 = 1,829.05/x
  3. Step 3: Cross multiply
    6,508.69x = 9,762.18 × 1,829.05
  4. Step 4: Simplify right side
    6,508.69x = 17,855,515.33
  5. Step 5: Solve for x
    x = 17,855,515.33/6,508.69
  6. Step 6: Final answer
    x = 2,743.33

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1.5x scale

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.