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Finding the Fourth Proportional to 9,934.50, 14,906.86 and 6,605.06

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Solution

The fourth proportional to 9,934.50, 14,906.86 and 6,605.06 is: 9,910.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,934.50 : 14,906.86 = 6,605.06 : x
  2. Step 2: Convert to fraction form
    9,934.50/14,906.86 = 6,605.06/x
  3. Step 3: Cross multiply
    9,934.50x = 14,906.86 × 6,605.06
  4. Step 4: Simplify right side
    9,934.50x = 98,460,704.71
  5. Step 5: Solve for x
    x = 98,460,704.71/9,934.50
  6. Step 6: Final answer
    x = 9,910.99

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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.