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Finding the Fourth Proportional to 6,205.93, 8,572.88 and 5,645.41

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Solution

The fourth proportional to 6,205.93, 8,572.88 and 5,645.41 is: 7,798.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205.93 : 8,572.88 = 5,645.41 : x
  2. Step 2: Convert to fraction form
    6,205.93/8,572.88 = 5,645.41/x
  3. Step 3: Cross multiply
    6,205.93x = 8,572.88 × 5,645.41
  4. Step 4: Simplify right side
    6,205.93x = 48,397,415.16
  5. Step 5: Solve for x
    x = 48,397,415.16/6,205.93
  6. Step 6: Final answer
    x = 7,798.58

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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.