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Finding the Fourth Proportional to 8,269.50, 11,411.91 and 4,543.50

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Solution

The fourth proportional to 8,269.50, 11,411.91 and 4,543.50 is: 6,270.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,269.50 : 11,411.91 = 4,543.50 : x
  2. Step 2: Convert to fraction form
    8,269.50/11,411.91 = 4,543.50/x
  3. Step 3: Cross multiply
    8,269.50x = 11,411.91 × 4,543.50
  4. Step 4: Simplify right side
    8,269.50x = 51,850,013.09
  5. Step 5: Solve for x
    x = 51,850,013.09/8,269.50
  6. Step 6: Final answer
    x = 6,270.03

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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.