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Finding the Fourth Proportional to 6,231.84, 8,604 and 4,813.02

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Solution

The fourth proportional to 6,231.84, 8,604 and 4,813.02 is: 6,645.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,231.84 : 8,604 = 4,813.02 : x
  2. Step 2: Convert to fraction form
    6,231.84/8,604 = 4,813.02/x
  3. Step 3: Cross multiply
    6,231.84x = 8,604 × 4,813.02
  4. Step 4: Simplify right side
    6,231.84x = 41,411,224.08
  5. Step 5: Solve for x
    x = 41,411,224.08/6,231.84
  6. Step 6: Final answer
    x = 6,645.10

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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.