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Finding the Fourth Proportional to 7,202.16, 10,804.86 and 5,210.37

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Solution

The fourth proportional to 7,202.16, 10,804.86 and 5,210.37 is: 7,816.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,202.16 : 10,804.86 = 5,210.37 : x
  2. Step 2: Convert to fraction form
    7,202.16/10,804.86 = 5,210.37/x
  3. Step 3: Cross multiply
    7,202.16x = 10,804.86 × 5,210.37
  4. Step 4: Simplify right side
    7,202.16x = 56,297,318.40
  5. Step 5: Solve for x
    x = 56,297,318.40/7,202.16
  6. Step 6: Final answer
    x = 7,816.73

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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.