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Finding the Fourth Proportional to 7,101.56, 9,800.19 and 4,119.16

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Solution

The fourth proportional to 7,101.56, 9,800.19 and 4,119.16 is: 5,684.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,101.56 : 9,800.19 = 4,119.16 : x
  2. Step 2: Convert to fraction form
    7,101.56/9,800.19 = 4,119.16/x
  3. Step 3: Cross multiply
    7,101.56x = 9,800.19 × 4,119.16
  4. Step 4: Simplify right side
    7,101.56x = 40,368,550.64
  5. Step 5: Solve for x
    x = 40,368,550.64/7,101.56
  6. Step 6: Final answer
    x = 5,684.46

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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.