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Finding the Fourth Proportional to 9,896.40, 14,850.06 and 5,948.85

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Solution

The fourth proportional to 9,896.40, 14,850.06 and 5,948.85 is: 8,926.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,896.40 : 14,850.06 = 5,948.85 : x
  2. Step 2: Convert to fraction form
    9,896.40/14,850.06 = 5,948.85/x
  3. Step 3: Cross multiply
    9,896.40x = 14,850.06 × 5,948.85
  4. Step 4: Simplify right side
    9,896.40x = 88,340,779.43
  5. Step 5: Solve for x
    x = 88,340,779.43/9,896.40
  6. Step 6: Final answer
    x = 8,926.56

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1.5x scale

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.