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Finding the Fourth Proportional to 7,120.98, 9,829.04 and 4,138.16

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Solution

The fourth proportional to 7,120.98, 9,829.04 and 4,138.16 is: 5,711.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,120.98 : 9,829.04 = 4,138.16 : x
  2. Step 2: Convert to fraction form
    7,120.98/9,829.04 = 4,138.16/x
  3. Step 3: Cross multiply
    7,120.98x = 9,829.04 × 4,138.16
  4. Step 4: Simplify right side
    7,120.98x = 40,674,070.33
  5. Step 5: Solve for x
    x = 40,674,070.33/7,120.98
  6. Step 6: Final answer
    x = 5,711.86

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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.