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Finding the Fourth Proportional to 37,677, 56,516.58 and 9,975

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Solution

The fourth proportional to 37,677, 56,516.58 and 9,975 is: 14,962.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,677 : 56,516.58 = 9,975 : x
  2. Step 2: Convert to fraction form
    37,677/56,516.58 = 9,975/x
  3. Step 3: Cross multiply
    37,677x = 56,516.58 × 9,975
  4. Step 4: Simplify right side
    37,677x = 563,752,885.50
  5. Step 5: Solve for x
    x = 563,752,885.50/37,677
  6. Step 6: Final answer
    x = 14,962.79

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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.