Home / 10,546.02-14,552.94-5,830

Finding the Fourth Proportional to 10,546.02, 14,552.94 and 5,830

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Solution

The fourth proportional to 10,546.02, 14,552.94 and 5,830 is: 8,045.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,546.02 : 14,552.94 = 5,830 : x
  2. Step 2: Convert to fraction form
    10,546.02/14,552.94 = 5,830/x
  3. Step 3: Cross multiply
    10,546.02x = 14,552.94 × 5,830
  4. Step 4: Simplify right side
    10,546.02x = 84,843,640.20
  5. Step 5: Solve for x
    x = 84,843,640.20/10,546.02
  6. Step 6: Final answer
    x = 8,045.09

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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.