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Finding the Fourth Proportional to 9,834.66, 14,729.94 and 7,636.74

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Solution

The fourth proportional to 9,834.66, 14,729.94 and 7,636.74 is: 11,437.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,834.66 : 14,729.94 = 7,636.74 : x
  2. Step 2: Convert to fraction form
    9,834.66/14,729.94 = 7,636.74/x
  3. Step 3: Cross multiply
    9,834.66x = 14,729.94 × 7,636.74
  4. Step 4: Simplify right side
    9,834.66x = 112,488,722.00
  5. Step 5: Solve for x
    x = 112,488,722.00/9,834.66
  6. Step 6: Final answer
    x = 11,437.99

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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.