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Finding the Fourth Proportional to 6,508.69, 9,765.08 and 2,125.12

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Solution

The fourth proportional to 6,508.69, 9,765.08 and 2,125.12 is: 3,188.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,508.69 : 9,765.08 = 2,125.12 : x
  2. Step 2: Convert to fraction form
    6,508.69/9,765.08 = 2,125.12/x
  3. Step 3: Cross multiply
    6,508.69x = 9,765.08 × 2,125.12
  4. Step 4: Simplify right side
    6,508.69x = 20,751,966.81
  5. Step 5: Solve for x
    x = 20,751,966.81/6,508.69
  6. Step 6: Final answer
    x = 3,188.35

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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.