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Finding the Fourth Proportional to 7,005.92, 9,668.12 and 3,819.40

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Solution

The fourth proportional to 7,005.92, 9,668.12 and 3,819.40 is: 5,270.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,005.92 : 9,668.12 = 3,819.40 : x
  2. Step 2: Convert to fraction form
    7,005.92/9,668.12 = 3,819.40/x
  3. Step 3: Cross multiply
    7,005.92x = 9,668.12 × 3,819.40
  4. Step 4: Simplify right side
    7,005.92x = 36,926,417.53
  5. Step 5: Solve for x
    x = 36,926,417.53/7,005.92
  6. Step 6: Final answer
    x = 5,270.74

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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.