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Finding the Fourth Proportional to 6,508.32, 9,763.14 and 1,828.35

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Solution

The fourth proportional to 6,508.32, 9,763.14 and 1,828.35 is: 2,742.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,508.32 : 9,763.14 = 1,828.35 : x
  2. Step 2: Convert to fraction form
    6,508.32/9,763.14 = 1,828.35/x
  3. Step 3: Cross multiply
    6,508.32x = 9,763.14 × 1,828.35
  4. Step 4: Simplify right side
    6,508.32x = 17,850,437.02
  5. Step 5: Solve for x
    x = 17,850,437.02/6,508.32
  6. Step 6: Final answer
    x = 2,742.71

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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.