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Finding the Fourth Proportional to 6,573.34, 9,066.09 and 4,215.70

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Solution

The fourth proportional to 6,573.34, 9,066.09 and 4,215.70 is: 5,814.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,573.34 : 9,066.09 = 4,215.70 : x
  2. Step 2: Convert to fraction form
    6,573.34/9,066.09 = 4,215.70/x
  3. Step 3: Cross multiply
    6,573.34x = 9,066.09 × 4,215.70
  4. Step 4: Simplify right side
    6,573.34x = 38,219,915.61
  5. Step 5: Solve for x
    x = 38,219,915.61/6,573.34
  6. Step 6: Final answer
    x = 5,814.38

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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.