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Finding the Fourth Proportional to 4,693.91, 6,477.50 and 2,569.39

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Solution

The fourth proportional to 4,693.91, 6,477.50 and 2,569.39 is: 3,545.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,693.91 : 6,477.50 = 2,569.39 : x
  2. Step 2: Convert to fraction form
    4,693.91/6,477.50 = 2,569.39/x
  3. Step 3: Cross multiply
    4,693.91x = 6,477.50 × 2,569.39
  4. Step 4: Simplify right side
    4,693.91x = 16,643,238.25
  5. Step 5: Solve for x
    x = 16,643,238.25/4,693.91
  6. Step 6: Final answer
    x = 3,545.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.