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Finding the Fourth Proportional to 3,566.44, 5,349.59 and 969.31

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Solution

The fourth proportional to 3,566.44, 5,349.59 and 969.31 is: 1,453.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,566.44 : 5,349.59 = 969.31 : x
  2. Step 2: Convert to fraction form
    3,566.44/5,349.59 = 969.31/x
  3. Step 3: Cross multiply
    3,566.44x = 5,349.59 × 969.31
  4. Step 4: Simplify right side
    3,566.44x = 5,185,411.08
  5. Step 5: Solve for x
    x = 5,185,411.08/3,566.44
  6. Step 6: Final answer
    x = 1,453.95

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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.