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Finding the Fourth Proportional to 3,566.57, 5,349.95 and 969.53

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Solution

The fourth proportional to 3,566.57, 5,349.95 and 969.53 is: 1,454.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,566.57 : 5,349.95 = 969.53 : x
  2. Step 2: Convert to fraction form
    3,566.57/5,349.95 = 969.53/x
  3. Step 3: Cross multiply
    3,566.57x = 5,349.95 × 969.53
  4. Step 4: Simplify right side
    3,566.57x = 5,186,932.18
  5. Step 5: Solve for x
    x = 5,186,932.18/3,566.57
  6. Step 6: Final answer
    x = 1,454.32

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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.