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Finding the Fourth Proportional to 6,661.60, 9,186.92 and 4,566.40

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Solution

The fourth proportional to 6,661.60, 9,186.92 and 4,566.40 is: 6,297.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,661.60 : 9,186.92 = 4,566.40 : x
  2. Step 2: Convert to fraction form
    6,661.60/9,186.92 = 4,566.40/x
  3. Step 3: Cross multiply
    6,661.60x = 9,186.92 × 4,566.40
  4. Step 4: Simplify right side
    6,661.60x = 41,951,151.49
  5. Step 5: Solve for x
    x = 41,951,151.49/6,661.60
  6. Step 6: Final answer
    x = 6,297.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.