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Finding the Fourth Proportional to 6,205.88, 8,564.64 and 3,411.92

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Solution

The fourth proportional to 6,205.88, 8,564.64 and 3,411.92 is: 4,708.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205.88 : 8,564.64 = 3,411.92 : x
  2. Step 2: Convert to fraction form
    6,205.88/8,564.64 = 3,411.92/x
  3. Step 3: Cross multiply
    6,205.88x = 8,564.64 × 3,411.92
  4. Step 4: Simplify right side
    6,205.88x = 29,221,866.51
  5. Step 5: Solve for x
    x = 29,221,866.51/6,205.88
  6. Step 6: Final answer
    x = 4,708.74

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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.