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Finding the Fourth Proportional to 6,465.66, 9,698.69 and 1,785.75

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Solution

The fourth proportional to 6,465.66, 9,698.69 and 1,785.75 is: 2,678.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.66 : 9,698.69 = 1,785.75 : x
  2. Step 2: Convert to fraction form
    6,465.66/9,698.69 = 1,785.75/x
  3. Step 3: Cross multiply
    6,465.66x = 9,698.69 × 1,785.75
  4. Step 4: Simplify right side
    6,465.66x = 17,319,435.67
  5. Step 5: Solve for x
    x = 17,319,435.67/6,465.66
  6. Step 6: Final answer
    x = 2,678.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.