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Finding the Fourth Proportional to 6,465.56, 9,698.06 and 3,654.59

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Solution

The fourth proportional to 6,465.56, 9,698.06 and 3,654.59 is: 5,481.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.56 : 9,698.06 = 3,654.59 : x
  2. Step 2: Convert to fraction form
    6,465.56/9,698.06 = 3,654.59/x
  3. Step 3: Cross multiply
    6,465.56x = 9,698.06 × 3,654.59
  4. Step 4: Simplify right side
    6,465.56x = 35,442,393.74
  5. Step 5: Solve for x
    x = 35,442,393.74/6,465.56
  6. Step 6: Final answer
    x = 5,481.72

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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.