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Finding the Fourth Proportional to 8,407.57, 11,603.84 and 6,414.37

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Solution

The fourth proportional to 8,407.57, 11,603.84 and 6,414.37 is: 8,852.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,407.57 : 11,603.84 = 6,414.37 : x
  2. Step 2: Convert to fraction form
    8,407.57/11,603.84 = 6,414.37/x
  3. Step 3: Cross multiply
    8,407.57x = 11,603.84 × 6,414.37
  4. Step 4: Simplify right side
    8,407.57x = 74,431,323.18
  5. Step 5: Solve for x
    x = 74,431,323.18/8,407.57
  6. Step 6: Final answer
    x = 8,852.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.