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Finding the Fourth Proportional to 6,822.10, 10,222.22 and 6,166.00

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Solution

The fourth proportional to 6,822.10, 10,222.22 and 6,166.00 is: 9,239.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,822.10 : 10,222.22 = 6,166.00 : x
  2. Step 2: Convert to fraction form
    6,822.10/10,222.22 = 6,166.00/x
  3. Step 3: Cross multiply
    6,822.10x = 10,222.22 × 6,166.00
  4. Step 4: Simplify right side
    6,822.10x = 63,030,126.58
  5. Step 5: Solve for x
    x = 63,030,126.58/6,822.10
  6. Step 6: Final answer
    x = 9,239.12

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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.