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Finding the Fourth Proportional to 6,543.20, 9,814.80 and 6,105.80

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Solution

The fourth proportional to 6,543.20, 9,814.80 and 6,105.80 is: 9,158.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,543.20 : 9,814.80 = 6,105.80 : x
  2. Step 2: Convert to fraction form
    6,543.20/9,814.80 = 6,105.80/x
  3. Step 3: Cross multiply
    6,543.20x = 9,814.80 × 6,105.80
  4. Step 4: Simplify right side
    6,543.20x = 59,927,205.84
  5. Step 5: Solve for x
    x = 59,927,205.84/6,543.20
  6. Step 6: Final answer
    x = 9,158.70

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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.