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Finding the Fourth Proportional to 4,000.96, 6,004.14 and 1,403.92

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Solution

The fourth proportional to 4,000.96, 6,004.14 and 1,403.92 is: 2,106.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,000.96 : 6,004.14 = 1,403.92 : x
  2. Step 2: Convert to fraction form
    4,000.96/6,004.14 = 1,403.92/x
  3. Step 3: Cross multiply
    4,000.96x = 6,004.14 × 1,403.92
  4. Step 4: Simplify right side
    4,000.96x = 8,429,332.23
  5. Step 5: Solve for x
    x = 8,429,332.23/4,000.96
  6. Step 6: Final answer
    x = 2,106.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.