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Finding the Fourth Proportional to 6,407.64, 9,611.73 and 2,025.18

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Solution

The fourth proportional to 6,407.64, 9,611.73 and 2,025.18 is: 3,037.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.64 : 9,611.73 = 2,025.18 : x
  2. Step 2: Convert to fraction form
    6,407.64/9,611.73 = 2,025.18/x
  3. Step 3: Cross multiply
    6,407.64x = 9,611.73 × 2,025.18
  4. Step 4: Simplify right side
    6,407.64x = 19,465,483.36
  5. Step 5: Solve for x
    x = 19,465,483.36/6,407.64
  6. Step 6: Final answer
    x = 3,037.86

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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.