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Finding the Fourth Proportional to 8,455.65, 11,668.81 and 4,678.97

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Solution

The fourth proportional to 8,455.65, 11,668.81 and 4,678.97 is: 6,456.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,455.65 : 11,668.81 = 4,678.97 : x
  2. Step 2: Convert to fraction form
    8,455.65/11,668.81 = 4,678.97/x
  3. Step 3: Cross multiply
    8,455.65x = 11,668.81 × 4,678.97
  4. Step 4: Simplify right side
    8,455.65x = 54,598,049.11
  5. Step 5: Solve for x
    x = 54,598,049.11/8,455.65
  6. Step 6: Final answer
    x = 6,456.99

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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.