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Finding the Fourth Proportional to 6,504.34, 8,977 and 4,272.68

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Solution

The fourth proportional to 6,504.34, 8,977 and 4,272.68 is: 5,896.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504.34 : 8,977 = 4,272.68 : x
  2. Step 2: Convert to fraction form
    6,504.34/8,977 = 4,272.68/x
  3. Step 3: Cross multiply
    6,504.34x = 8,977 × 4,272.68
  4. Step 4: Simplify right side
    6,504.34x = 38,355,848.36
  5. Step 5: Solve for x
    x = 38,355,848.36/6,504.34
  6. Step 6: Final answer
    x = 5,896.96

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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.