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Finding the Fourth Proportional to 6,223.80, 8,599.77 and 4,975.16

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Solution

The fourth proportional to 6,223.80, 8,599.77 and 4,975.16 is: 6,874.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,223.80 : 8,599.77 = 4,975.16 : x
  2. Step 2: Convert to fraction form
    6,223.80/8,599.77 = 4,975.16/x
  3. Step 3: Cross multiply
    6,223.80x = 8,599.77 × 4,975.16
  4. Step 4: Simplify right side
    6,223.80x = 42,785,188.71
  5. Step 5: Solve for x
    x = 42,785,188.71/6,223.80
  6. Step 6: Final answer
    x = 6,874.45

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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.