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Finding the Fourth Proportional to 11,066.40, 16,575 and 6,375.36

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Solution

The fourth proportional to 11,066.40, 16,575 and 6,375.36 is: 9,548.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,066.40 : 16,575 = 6,375.36 : x
  2. Step 2: Convert to fraction form
    11,066.40/16,575 = 6,375.36/x
  3. Step 3: Cross multiply
    11,066.40x = 16,575 × 6,375.36
  4. Step 4: Simplify right side
    11,066.40x = 105,671,592
  5. Step 5: Solve for x
    x = 105,671,592/11,066.40
  6. Step 6: Final answer
    x = 9,548.87

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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.