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Finding the Fourth Proportional to 7,797.34, 11,699.52 and 3,416.05

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Solution

The fourth proportional to 7,797.34, 11,699.52 and 3,416.05 is: 5,125.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,797.34 : 11,699.52 = 3,416.05 : x
  2. Step 2: Convert to fraction form
    7,797.34/11,699.52 = 3,416.05/x
  3. Step 3: Cross multiply
    7,797.34x = 11,699.52 × 3,416.05
  4. Step 4: Simplify right side
    7,797.34x = 39,966,145.30
  5. Step 5: Solve for x
    x = 39,966,145.30/7,797.34
  6. Step 6: Final answer
    x = 5,125.61

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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.