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Finding the Fourth Proportional to 7,006.46, 9,668.91 and 3,862.65

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Solution

The fourth proportional to 7,006.46, 9,668.91 and 3,862.65 is: 5,330.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,006.46 : 9,668.91 = 3,862.65 : x
  2. Step 2: Convert to fraction form
    7,006.46/9,668.91 = 3,862.65/x
  3. Step 3: Cross multiply
    7,006.46x = 9,668.91 × 3,862.65
  4. Step 4: Simplify right side
    7,006.46x = 37,347,615.21
  5. Step 5: Solve for x
    x = 37,347,615.21/7,006.46
  6. Step 6: Final answer
    x = 5,330.46

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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.