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Finding the Fourth Proportional to 6,407.95, 9,608.56 and 2,894.93

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Solution

The fourth proportional to 6,407.95, 9,608.56 and 2,894.93 is: 4,340.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.95 : 9,608.56 = 2,894.93 : x
  2. Step 2: Convert to fraction form
    6,407.95/9,608.56 = 2,894.93/x
  3. Step 3: Cross multiply
    6,407.95x = 9,608.56 × 2,894.93
  4. Step 4: Simplify right side
    6,407.95x = 27,816,108.60
  5. Step 5: Solve for x
    x = 27,816,108.60/6,407.95
  6. Step 6: Final answer
    x = 4,340.87

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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.