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Finding the Fourth Proportional to 6,460.14, 8,894.88 and 4,869

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Solution

The fourth proportional to 6,460.14, 8,894.88 and 4,869 is: 6,704.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,460.14 : 8,894.88 = 4,869 : x
  2. Step 2: Convert to fraction form
    6,460.14/8,894.88 = 4,869/x
  3. Step 3: Cross multiply
    6,460.14x = 8,894.88 × 4,869
  4. Step 4: Simplify right side
    6,460.14x = 43,309,170.72
  5. Step 5: Solve for x
    x = 43,309,170.72/6,460.14
  6. Step 6: Final answer
    x = 6,704.06

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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.