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Finding the Fourth Proportional to 9,797.43, 14,668.74 and 5,107.17

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Solution

The fourth proportional to 9,797.43, 14,668.74 and 5,107.17 is: 7,646.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797.43 : 14,668.74 = 5,107.17 : x
  2. Step 2: Convert to fraction form
    9,797.43/14,668.74 = 5,107.17/x
  3. Step 3: Cross multiply
    9,797.43x = 14,668.74 × 5,107.17
  4. Step 4: Simplify right side
    9,797.43x = 74,915,748.87
  5. Step 5: Solve for x
    x = 74,915,748.87/9,797.43
  6. Step 6: Final answer
    x = 7,646.47

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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.