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Finding the Fourth Proportional to 9,668.96, 13,338.42 and 6,310.22

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Solution

The fourth proportional to 9,668.96, 13,338.42 and 6,310.22 is: 8,705.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,668.96 : 13,338.42 = 6,310.22 : x
  2. Step 2: Convert to fraction form
    9,668.96/13,338.42 = 6,310.22/x
  3. Step 3: Cross multiply
    9,668.96x = 13,338.42 × 6,310.22
  4. Step 4: Simplify right side
    9,668.96x = 84,168,364.65
  5. Step 5: Solve for x
    x = 84,168,364.65/9,668.96
  6. Step 6: Final answer
    x = 8,705.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.