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Finding the Fourth Proportional to 9,874.74, 14,798.96 and 4,869.47

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Solution

The fourth proportional to 9,874.74, 14,798.96 and 4,869.47 is: 7,297.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,874.74 : 14,798.96 = 4,869.47 : x
  2. Step 2: Convert to fraction form
    9,874.74/14,798.96 = 4,869.47/x
  3. Step 3: Cross multiply
    9,874.74x = 14,798.96 × 4,869.47
  4. Step 4: Simplify right side
    9,874.74x = 72,063,091.75
  5. Step 5: Solve for x
    x = 72,063,091.75/9,874.74
  6. Step 6: Final answer
    x = 7,297.72

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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.