Home / 7,022-10,533.61-1,827.88

Finding the Fourth Proportional to 7,022, 10,533.61 and 1,827.88

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Solution

The fourth proportional to 7,022, 10,533.61 and 1,827.88 is: 2,741.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,022 : 10,533.61 = 1,827.88 : x
  2. Step 2: Convert to fraction form
    7,022/10,533.61 = 1,827.88/x
  3. Step 3: Cross multiply
    7,022x = 10,533.61 × 1,827.88
  4. Step 4: Simplify right side
    7,022x = 19,254,175.05
  5. Step 5: Solve for x
    x = 19,254,175.05/7,022
  6. Step 6: Final answer
    x = 2,741.98

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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.