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Finding the Fourth Proportional to 10,052, 13,874.88 and 6,740

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Solution

The fourth proportional to 10,052, 13,874.88 and 6,740 is: 9,303.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,052 : 13,874.88 = 6,740 : x
  2. Step 2: Convert to fraction form
    10,052/13,874.88 = 6,740/x
  3. Step 3: Cross multiply
    10,052x = 13,874.88 × 6,740
  4. Step 4: Simplify right side
    10,052x = 93,516,691.20
  5. Step 5: Solve for x
    x = 93,516,691.20/10,052
  6. Step 6: Final answer
    x = 9,303.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.