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Finding the Fourth Proportional to 5,666.14, 8,448.31 and 5,449.60

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Solution

The fourth proportional to 5,666.14, 8,448.31 and 5,449.60 is: 8,125.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,666.14 : 8,448.31 = 5,449.60 : x
  2. Step 2: Convert to fraction form
    5,666.14/8,448.31 = 5,449.60/x
  3. Step 3: Cross multiply
    5,666.14x = 8,448.31 × 5,449.60
  4. Step 4: Simplify right side
    5,666.14x = 46,039,910.18
  5. Step 5: Solve for x
    x = 46,039,910.18/5,666.14
  6. Step 6: Final answer
    x = 8,125.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.