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Finding the Fourth Proportional to 34,794.90, 52,195.74 and 9,835.14

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Solution

The fourth proportional to 34,794.90, 52,195.74 and 9,835.14 is: 14,753.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,794.90 : 52,195.74 = 9,835.14 : x
  2. Step 2: Convert to fraction form
    34,794.90/52,195.74 = 9,835.14/x
  3. Step 3: Cross multiply
    34,794.90x = 52,195.74 × 9,835.14
  4. Step 4: Simplify right side
    34,794.90x = 513,352,410.30
  5. Step 5: Solve for x
    x = 513,352,410.30/34,794.90
  6. Step 6: Final answer
    x = 14,753.67

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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.