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Finding the Fourth Proportional to 6,657.60, 9,974.64 and 5,933.58

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Solution

The fourth proportional to 6,657.60, 9,974.64 and 5,933.58 is: 8,889.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,657.60 : 9,974.64 = 5,933.58 : x
  2. Step 2: Convert to fraction form
    6,657.60/9,974.64 = 5,933.58/x
  3. Step 3: Cross multiply
    6,657.60x = 9,974.64 × 5,933.58
  4. Step 4: Simplify right side
    6,657.60x = 59,185,324.41
  5. Step 5: Solve for x
    x = 59,185,324.41/6,657.60
  6. Step 6: Final answer
    x = 8,889.89

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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.