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Finding the Fourth Proportional to 6,407.02, 9,611.70 and 2,025.70

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Solution

The fourth proportional to 6,407.02, 9,611.70 and 2,025.70 is: 3,038.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.02 : 9,611.70 = 2,025.70 : x
  2. Step 2: Convert to fraction form
    6,407.02/9,611.70 = 2,025.70/x
  3. Step 3: Cross multiply
    6,407.02x = 9,611.70 × 2,025.70
  4. Step 4: Simplify right side
    6,407.02x = 19,470,420.69
  5. Step 5: Solve for x
    x = 19,470,420.69/6,407.02
  6. Step 6: Final answer
    x = 3,038.92

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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.