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Finding the Fourth Proportional to 7,858.97, 11,774.57 and 4,152.99

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Solution

The fourth proportional to 7,858.97, 11,774.57 and 4,152.99 is: 6,222.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,858.97 : 11,774.57 = 4,152.99 : x
  2. Step 2: Convert to fraction form
    7,858.97/11,774.57 = 4,152.99/x
  3. Step 3: Cross multiply
    7,858.97x = 11,774.57 × 4,152.99
  4. Step 4: Simplify right side
    7,858.97x = 48,899,650.70
  5. Step 5: Solve for x
    x = 48,899,650.70/7,858.97
  6. Step 6: Final answer
    x = 6,222.15

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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.