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Finding the Fourth Proportional to 6,998.23, 10,466.02 and 6,223.06

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Solution

The fourth proportional to 6,998.23, 10,466.02 and 6,223.06 is: 9,306.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998.23 : 10,466.02 = 6,223.06 : x
  2. Step 2: Convert to fraction form
    6,998.23/10,466.02 = 6,223.06/x
  3. Step 3: Cross multiply
    6,998.23x = 10,466.02 × 6,223.06
  4. Step 4: Simplify right side
    6,998.23x = 65,130,670.42
  5. Step 5: Solve for x
    x = 65,130,670.42/6,998.23
  6. Step 6: Final answer
    x = 9,306.73

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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.