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Finding the Fourth Proportional to 6,460.25, 8,910.28 and 4,474.13

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Solution

The fourth proportional to 6,460.25, 8,910.28 and 4,474.13 is: 6,170.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,460.25 : 8,910.28 = 4,474.13 : x
  2. Step 2: Convert to fraction form
    6,460.25/8,910.28 = 4,474.13/x
  3. Step 3: Cross multiply
    6,460.25x = 8,910.28 × 4,474.13
  4. Step 4: Simplify right side
    6,460.25x = 39,865,751.06
  5. Step 5: Solve for x
    x = 39,865,751.06/6,460.25
  6. Step 6: Final answer
    x = 6,170.93

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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.