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Finding the Fourth Proportional to 6,460.80, 8,896.16 and 4,869.76

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Solution

The fourth proportional to 6,460.80, 8,896.16 and 4,869.76 is: 6,705.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,460.80 : 8,896.16 = 4,869.76 : x
  2. Step 2: Convert to fraction form
    6,460.80/8,896.16 = 4,869.76/x
  3. Step 3: Cross multiply
    6,460.80x = 8,896.16 × 4,869.76
  4. Step 4: Simplify right side
    6,460.80x = 43,322,164.12
  5. Step 5: Solve for x
    x = 43,322,164.12/6,460.80
  6. Step 6: Final answer
    x = 6,705.39

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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.