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Finding the Fourth Proportional to 4,813.70, 6,635.13 and 4,165.70

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Solution

The fourth proportional to 4,813.70, 6,635.13 and 4,165.70 is: 5,741.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,813.70 : 6,635.13 = 4,165.70 : x
  2. Step 2: Convert to fraction form
    4,813.70/6,635.13 = 4,165.70/x
  3. Step 3: Cross multiply
    4,813.70x = 6,635.13 × 4,165.70
  4. Step 4: Simplify right side
    4,813.70x = 27,639,961.04
  5. Step 5: Solve for x
    x = 27,639,961.04/4,813.70
  6. Step 6: Final answer
    x = 5,741.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.