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Finding the Fourth Proportional to 3,566.19, 5,349.22 and 969.06

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Solution

The fourth proportional to 3,566.19, 5,349.22 and 969.06 is: 1,453.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,566.19 : 5,349.22 = 969.06 : x
  2. Step 2: Convert to fraction form
    3,566.19/5,349.22 = 969.06/x
  3. Step 3: Cross multiply
    3,566.19x = 5,349.22 × 969.06
  4. Step 4: Simplify right side
    3,566.19x = 5,183,712.71
  5. Step 5: Solve for x
    x = 5,183,712.71/3,566.19
  6. Step 6: Final answer
    x = 1,453.57

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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.