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Finding the Fourth Proportional to 4,999.48, 6,849.22 and 4,812.54

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Solution

The fourth proportional to 4,999.48, 6,849.22 and 4,812.54 is: 6,593.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,999.48 : 6,849.22 = 4,812.54 : x
  2. Step 2: Convert to fraction form
    4,999.48/6,849.22 = 4,812.54/x
  3. Step 3: Cross multiply
    4,999.48x = 6,849.22 × 4,812.54
  4. Step 4: Simplify right side
    4,999.48x = 32,962,145.22
  5. Step 5: Solve for x
    x = 32,962,145.22/4,999.48
  6. Step 6: Final answer
    x = 6,593.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.