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Finding the Fourth Proportional to 6,292.38, 8,670.70 and 4,867.42

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Solution

The fourth proportional to 6,292.38, 8,670.70 and 4,867.42 is: 6,707.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,292.38 : 8,670.70 = 4,867.42 : x
  2. Step 2: Convert to fraction form
    6,292.38/8,670.70 = 4,867.42/x
  3. Step 3: Cross multiply
    6,292.38x = 8,670.70 × 4,867.42
  4. Step 4: Simplify right side
    6,292.38x = 42,203,887.49
  5. Step 5: Solve for x
    x = 42,203,887.49/6,292.38
  6. Step 6: Final answer
    x = 6,707.14

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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.