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Finding the Fourth Proportional to 6,270.46, 8,643.99 and 4,941.52

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Solution

The fourth proportional to 6,270.46, 8,643.99 and 4,941.52 is: 6,812.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,270.46 : 8,643.99 = 4,941.52 : x
  2. Step 2: Convert to fraction form
    6,270.46/8,643.99 = 4,941.52/x
  3. Step 3: Cross multiply
    6,270.46x = 8,643.99 × 4,941.52
  4. Step 4: Simplify right side
    6,270.46x = 42,714,449.46
  5. Step 5: Solve for x
    x = 42,714,449.46/6,270.46
  6. Step 6: Final answer
    x = 6,812.01

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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.