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Finding the Fourth Proportional to 6,407.70, 9,611.55 and 2,025.46

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Solution

The fourth proportional to 6,407.70, 9,611.55 and 2,025.46 is: 3,038.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.70 : 9,611.55 = 2,025.46 : x
  2. Step 2: Convert to fraction form
    6,407.70/9,611.55 = 2,025.46/x
  3. Step 3: Cross multiply
    6,407.70x = 9,611.55 × 2,025.46
  4. Step 4: Simplify right side
    6,407.70x = 19,467,810.06
  5. Step 5: Solve for x
    x = 19,467,810.06/6,407.70
  6. Step 6: Final answer
    x = 3,038.19

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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.