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Finding the Fourth Proportional to 6,580.74, 9,870.94 and 3,066.96

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Solution

The fourth proportional to 6,580.74, 9,870.94 and 3,066.96 is: 4,600.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,580.74 : 9,870.94 = 3,066.96 : x
  2. Step 2: Convert to fraction form
    6,580.74/9,870.94 = 3,066.96/x
  3. Step 3: Cross multiply
    6,580.74x = 9,870.94 × 3,066.96
  4. Step 4: Simplify right side
    6,580.74x = 30,273,778.14
  5. Step 5: Solve for x
    x = 30,273,778.14/6,580.74
  6. Step 6: Final answer
    x = 4,600.36

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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.