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Finding the Fourth Proportional to 6,558.42, 9,824.63 and 3,098.10

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Solution

The fourth proportional to 6,558.42, 9,824.63 and 3,098.10 is: 4,641.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,558.42 : 9,824.63 = 3,098.10 : x
  2. Step 2: Convert to fraction form
    6,558.42/9,824.63 = 3,098.10/x
  3. Step 3: Cross multiply
    6,558.42x = 9,824.63 × 3,098.10
  4. Step 4: Simplify right side
    6,558.42x = 30,437,670.71
  5. Step 5: Solve for x
    x = 30,437,670.71/6,558.42
  6. Step 6: Final answer
    x = 4,641.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.