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Finding the Fourth Proportional to 6,586.92, 9,092 and 4,598.16

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Solution

The fourth proportional to 6,586.92, 9,092 and 4,598.16 is: 6,346.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,586.92 : 9,092 = 4,598.16 : x
  2. Step 2: Convert to fraction form
    6,586.92/9,092 = 4,598.16/x
  3. Step 3: Cross multiply
    6,586.92x = 9,092 × 4,598.16
  4. Step 4: Simplify right side
    6,586.92x = 41,806,470.72
  5. Step 5: Solve for x
    x = 41,806,470.72/6,586.92
  6. Step 6: Final answer
    x = 6,346.89

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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.