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Finding the Fourth Proportional to 5,614.76, 7,749.09 and 4,668.93

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Solution

The fourth proportional to 5,614.76, 7,749.09 and 4,668.93 is: 6,443.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,614.76 : 7,749.09 = 4,668.93 : x
  2. Step 2: Convert to fraction form
    5,614.76/7,749.09 = 4,668.93/x
  3. Step 3: Cross multiply
    5,614.76x = 7,749.09 × 4,668.93
  4. Step 4: Simplify right side
    5,614.76x = 36,179,908.36
  5. Step 5: Solve for x
    x = 36,179,908.36/5,614.76
  6. Step 6: Final answer
    x = 6,443.71

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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.