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Finding the Fourth Proportional to 9,872.68, 14,804.98 and 4,936.44

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Solution

The fourth proportional to 9,872.68, 14,804.98 and 4,936.44 is: 7,402.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,872.68 : 14,804.98 = 4,936.44 : x
  2. Step 2: Convert to fraction form
    9,872.68/14,804.98 = 4,936.44/x
  3. Step 3: Cross multiply
    9,872.68x = 14,804.98 × 4,936.44
  4. Step 4: Simplify right side
    9,872.68x = 73,083,895.47
  5. Step 5: Solve for x
    x = 73,083,895.47/9,872.68
  6. Step 6: Final answer
    x = 7,402.64

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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.