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Finding the Fourth Proportional to 6,407.46, 9,611.73 and 2,024.82

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Solution

The fourth proportional to 6,407.46, 9,611.73 and 2,024.82 is: 3,037.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.46 : 9,611.73 = 2,024.82 : x
  2. Step 2: Convert to fraction form
    6,407.46/9,611.73 = 2,024.82/x
  3. Step 3: Cross multiply
    6,407.46x = 9,611.73 × 2,024.82
  4. Step 4: Simplify right side
    6,407.46x = 19,462,023.14
  5. Step 5: Solve for x
    x = 19,462,023.14/6,407.46
  6. Step 6: Final answer
    x = 3,037.40

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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.