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Finding the Fourth Proportional to 9,668.62, 14,507.79 and 7,208.38

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Solution

The fourth proportional to 9,668.62, 14,507.79 and 7,208.38 is: 10,816.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,668.62 : 14,507.79 = 7,208.38 : x
  2. Step 2: Convert to fraction form
    9,668.62/14,507.79 = 7,208.38/x
  3. Step 3: Cross multiply
    9,668.62x = 14,507.79 × 7,208.38
  4. Step 4: Simplify right side
    9,668.62x = 104,577,663.28
  5. Step 5: Solve for x
    x = 104,577,663.28/9,668.62
  6. Step 6: Final answer
    x = 10,816.19

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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.