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Finding the Fourth Proportional to 5,104.69, 7,657.04 and 1,641.94

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Solution

The fourth proportional to 5,104.69, 7,657.04 and 1,641.94 is: 2,462.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,104.69 : 7,657.04 = 1,641.94 : x
  2. Step 2: Convert to fraction form
    5,104.69/7,657.04 = 1,641.94/x
  3. Step 3: Cross multiply
    5,104.69x = 7,657.04 × 1,641.94
  4. Step 4: Simplify right side
    5,104.69x = 12,572,372.91
  5. Step 5: Solve for x
    x = 12,572,372.91/5,104.69
  6. Step 6: Final answer
    x = 2,462.91

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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.