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Finding the Fourth Proportional to 9,790.49, 14,704.27 and 6,118.49

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Solution

The fourth proportional to 9,790.49, 14,704.27 and 6,118.49 is: 9,189.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,790.49 : 14,704.27 = 6,118.49 : x
  2. Step 2: Convert to fraction form
    9,790.49/14,704.27 = 6,118.49/x
  3. Step 3: Cross multiply
    9,790.49x = 14,704.27 × 6,118.49
  4. Step 4: Simplify right side
    9,790.49x = 89,967,950.42
  5. Step 5: Solve for x
    x = 89,967,950.42/9,790.49
  6. Step 6: Final answer
    x = 9,189.32

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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.