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Finding the Fourth Proportional to 6,574.07, 9,865.01 and 2,627.20

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Solution

The fourth proportional to 6,574.07, 9,865.01 and 2,627.20 is: 3,942.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,574.07 : 9,865.01 = 2,627.20 : x
  2. Step 2: Convert to fraction form
    6,574.07/9,865.01 = 2,627.20/x
  3. Step 3: Cross multiply
    6,574.07x = 9,865.01 × 2,627.20
  4. Step 4: Simplify right side
    6,574.07x = 25,917,317.68
  5. Step 5: Solve for x
    x = 25,917,317.68/6,574.07
  6. Step 6: Final answer
    x = 3,942.35

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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.