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Finding the Fourth Proportional to 11,717.50, 16,172.07 and 6,752.38

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Solution

The fourth proportional to 11,717.50, 16,172.07 and 6,752.38 is: 9,319.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,717.50 : 16,172.07 = 6,752.38 : x
  2. Step 2: Convert to fraction form
    11,717.50/16,172.07 = 6,752.38/x
  3. Step 3: Cross multiply
    11,717.50x = 16,172.07 × 6,752.38
  4. Step 4: Simplify right side
    11,717.50x = 109,199,962.03
  5. Step 5: Solve for x
    x = 109,199,962.03/11,717.50
  6. Step 6: Final answer
    x = 9,319.39

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1.5x scale

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.