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Finding the Fourth Proportional to 9,836.48, 14,752 and 2,816

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Solution

The fourth proportional to 9,836.48, 14,752 and 2,816 is: 4,223.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,836.48 : 14,752 = 2,816 : x
  2. Step 2: Convert to fraction form
    9,836.48/14,752 = 2,816/x
  3. Step 3: Cross multiply
    9,836.48x = 14,752 × 2,816
  4. Step 4: Simplify right side
    9,836.48x = 41,541,632
  5. Step 5: Solve for x
    x = 41,541,632/9,836.48
  6. Step 6: Final answer
    x = 4,223.22

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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.