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Finding the Fourth Proportional to 9,646.41, 13,310.62 and 5,668.81

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Solution

The fourth proportional to 9,646.41, 13,310.62 and 5,668.81 is: 7,822.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646.41 : 13,310.62 = 5,668.81 : x
  2. Step 2: Convert to fraction form
    9,646.41/13,310.62 = 5,668.81/x
  3. Step 3: Cross multiply
    9,646.41x = 13,310.62 × 5,668.81
  4. Step 4: Simplify right side
    9,646.41x = 75,455,375.76
  5. Step 5: Solve for x
    x = 75,455,375.76/9,646.41
  6. Step 6: Final answer
    x = 7,822.12

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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.