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Finding the Fourth Proportional to 4,509.61, 6,220.13 and 4,137.82

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Solution

The fourth proportional to 4,509.61, 6,220.13 and 4,137.82 is: 5,707.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,509.61 : 6,220.13 = 4,137.82 : x
  2. Step 2: Convert to fraction form
    4,509.61/6,220.13 = 4,137.82/x
  3. Step 3: Cross multiply
    4,509.61x = 6,220.13 × 4,137.82
  4. Step 4: Simplify right side
    4,509.61x = 25,737,778.32
  5. Step 5: Solve for x
    x = 25,737,778.32/4,509.61
  6. Step 6: Final answer
    x = 5,707.32

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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.