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Finding the Fourth Proportional to 9,098.46, 13,647.54 and 4,098.06

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Solution

The fourth proportional to 9,098.46, 13,647.54 and 4,098.06 is: 6,147.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,098.46 : 13,647.54 = 4,098.06 : x
  2. Step 2: Convert to fraction form
    9,098.46/13,647.54 = 4,098.06/x
  3. Step 3: Cross multiply
    9,098.46x = 13,647.54 × 4,098.06
  4. Step 4: Simplify right side
    9,098.46x = 55,928,437.77
  5. Step 5: Solve for x
    x = 55,928,437.77/9,098.46
  6. Step 6: Final answer
    x = 6,147.02

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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.