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Finding the Fourth Proportional to 6,180.36, 8,525.95 and 4,501

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Solution

The fourth proportional to 6,180.36, 8,525.95 and 4,501 is: 6,209.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,180.36 : 8,525.95 = 4,501 : x
  2. Step 2: Convert to fraction form
    6,180.36/8,525.95 = 4,501/x
  3. Step 3: Cross multiply
    6,180.36x = 8,525.95 × 4,501
  4. Step 4: Simplify right side
    6,180.36x = 38,375,300.95
  5. Step 5: Solve for x
    x = 38,375,300.95/6,180.36
  6. Step 6: Final answer
    x = 6,209.23

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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.