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Finding the Fourth Proportional to 9,907.02, 14,863.77 and 4,974.12

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Solution

The fourth proportional to 9,907.02, 14,863.77 and 4,974.12 is: 7,462.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,907.02 : 14,863.77 = 4,974.12 : x
  2. Step 2: Convert to fraction form
    9,907.02/14,863.77 = 4,974.12/x
  3. Step 3: Cross multiply
    9,907.02x = 14,863.77 × 4,974.12
  4. Step 4: Simplify right side
    9,907.02x = 73,934,175.63
  5. Step 5: Solve for x
    x = 73,934,175.63/9,907.02
  6. Step 6: Final answer
    x = 7,462.81

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1.5x scale

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.