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Finding the Fourth Proportional to 11,572, 17,354.40 and 4,175.49

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Solution

The fourth proportional to 11,572, 17,354.40 and 4,175.49 is: 6,261.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,572 : 17,354.40 = 4,175.49 : x
  2. Step 2: Convert to fraction form
    11,572/17,354.40 = 4,175.49/x
  3. Step 3: Cross multiply
    11,572x = 17,354.40 × 4,175.49
  4. Step 4: Simplify right side
    11,572x = 72,463,123.66
  5. Step 5: Solve for x
    x = 72,463,123.66/11,572
  6. Step 6: Final answer
    x = 6,261.94

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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.