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Finding the Fourth Proportional to 4,689.54, 7,033.50 and 1,569.24

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Solution

The fourth proportional to 4,689.54, 7,033.50 and 1,569.24 is: 2,353.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,689.54 : 7,033.50 = 1,569.24 : x
  2. Step 2: Convert to fraction form
    4,689.54/7,033.50 = 1,569.24/x
  3. Step 3: Cross multiply
    4,689.54x = 7,033.50 × 1,569.24
  4. Step 4: Simplify right side
    4,689.54x = 11,037,249.54
  5. Step 5: Solve for x
    x = 11,037,249.54/4,689.54
  6. Step 6: Final answer
    x = 2,353.59

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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.