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Finding the Fourth Proportional to 9,668.60, 14,486.70 and 4,727.60

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Solution

The fourth proportional to 9,668.60, 14,486.70 and 4,727.60 is: 7,083.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,668.60 : 14,486.70 = 4,727.60 : x
  2. Step 2: Convert to fraction form
    9,668.60/14,486.70 = 4,727.60/x
  3. Step 3: Cross multiply
    9,668.60x = 14,486.70 × 4,727.60
  4. Step 4: Simplify right side
    9,668.60x = 68,487,322.92
  5. Step 5: Solve for x
    x = 68,487,322.92/9,668.60
  6. Step 6: Final answer
    x = 7,083.48

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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.