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Finding the Fourth Proportional to 7,006.48, 9,668.64 and 3,862.24

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Solution

The fourth proportional to 7,006.48, 9,668.64 and 3,862.24 is: 5,329.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,006.48 : 9,668.64 = 3,862.24 : x
  2. Step 2: Convert to fraction form
    7,006.48/9,668.64 = 3,862.24/x
  3. Step 3: Cross multiply
    7,006.48x = 9,668.64 × 3,862.24
  4. Step 4: Simplify right side
    7,006.48x = 37,342,608.15
  5. Step 5: Solve for x
    x = 37,342,608.15/7,006.48
  6. Step 6: Final answer
    x = 5,329.72

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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.