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Finding the Fourth Proportional to 9,890.31, 14,825.22 and 6,184.03

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Solution

The fourth proportional to 9,890.31, 14,825.22 and 6,184.03 is: 9,269.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,890.31 : 14,825.22 = 6,184.03 : x
  2. Step 2: Convert to fraction form
    9,890.31/14,825.22 = 6,184.03/x
  3. Step 3: Cross multiply
    9,890.31x = 14,825.22 × 6,184.03
  4. Step 4: Simplify right side
    9,890.31x = 91,679,631.87
  5. Step 5: Solve for x
    x = 91,679,631.87/9,890.31
  6. Step 6: Final answer
    x = 9,269.64

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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.