Home / 10,022-13,830.13-5,545.81

Finding the Fourth Proportional to 10,022, 13,830.13 and 5,545.81

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Solution

The fourth proportional to 10,022, 13,830.13 and 5,545.81 is: 7,653.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,022 : 13,830.13 = 5,545.81 : x
  2. Step 2: Convert to fraction form
    10,022/13,830.13 = 5,545.81/x
  3. Step 3: Cross multiply
    10,022x = 13,830.13 × 5,545.81
  4. Step 4: Simplify right side
    10,022x = 76,699,273.26
  5. Step 5: Solve for x
    x = 76,699,273.26/10,022
  6. Step 6: Final answer
    x = 7,653.09

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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.