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Finding the Fourth Proportional to 6,407.95, 9,611.10 and 2,025.85

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Solution

The fourth proportional to 6,407.95, 9,611.10 and 2,025.85 is: 3,038.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.95 : 9,611.10 = 2,025.85 : x
  2. Step 2: Convert to fraction form
    6,407.95/9,611.10 = 2,025.85/x
  3. Step 3: Cross multiply
    6,407.95x = 9,611.10 × 2,025.85
  4. Step 4: Simplify right side
    6,407.95x = 19,470,646.94
  5. Step 5: Solve for x
    x = 19,470,646.94/6,407.95
  6. Step 6: Final answer
    x = 3,038.51

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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.