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Finding the Fourth Proportional to 9,838.58, 14,757.97 and 7,876.67

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Solution

The fourth proportional to 9,838.58, 14,757.97 and 7,876.67 is: 11,815.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,838.58 : 14,757.97 = 7,876.67 : x
  2. Step 2: Convert to fraction form
    9,838.58/14,757.97 = 7,876.67/x
  3. Step 3: Cross multiply
    9,838.58x = 14,757.97 × 7,876.67
  4. Step 4: Simplify right side
    9,838.58x = 116,243,676.76
  5. Step 5: Solve for x
    x = 116,243,676.76/9,838.58
  6. Step 6: Final answer
    x = 11,815.09

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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.