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Finding the Fourth Proportional to 9,907.66, 14,851 and 3,578.32

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Solution

The fourth proportional to 9,907.66, 14,851 and 3,578.32 is: 5,363.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,907.66 : 14,851 = 3,578.32 : x
  2. Step 2: Convert to fraction form
    9,907.66/14,851 = 3,578.32/x
  3. Step 3: Cross multiply
    9,907.66x = 14,851 × 3,578.32
  4. Step 4: Simplify right side
    9,907.66x = 53,141,630.32
  5. Step 5: Solve for x
    x = 53,141,630.32/9,907.66
  6. Step 6: Final answer
    x = 5,363.69

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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.