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Finding the Fourth Proportional to 6,573.90, 9,814.02 and 6,343.23

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Solution

The fourth proportional to 6,573.90, 9,814.02 and 6,343.23 is: 9,469.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,573.90 : 9,814.02 = 6,343.23 : x
  2. Step 2: Convert to fraction form
    6,573.90/9,814.02 = 6,343.23/x
  3. Step 3: Cross multiply
    6,573.90x = 9,814.02 × 6,343.23
  4. Step 4: Simplify right side
    6,573.90x = 62,252,634.78
  5. Step 5: Solve for x
    x = 62,252,634.78/6,573.90
  6. Step 6: Final answer
    x = 9,469.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.