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Finding the Fourth Proportional to 6,446.49, 9,671.70 and 5,699.26

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Solution

The fourth proportional to 6,446.49, 9,671.70 and 5,699.26 is: 8,550.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,446.49 : 9,671.70 = 5,699.26 : x
  2. Step 2: Convert to fraction form
    6,446.49/9,671.70 = 5,699.26/x
  3. Step 3: Cross multiply
    6,446.49x = 9,671.70 × 5,699.26
  4. Step 4: Simplify right side
    6,446.49x = 55,121,566.40
  5. Step 5: Solve for x
    x = 55,121,566.40/6,446.49
  6. Step 6: Final answer
    x = 8,550.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.