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Finding the Fourth Proportional to 6,543.69, 9,029.99 and 3,559.46

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Solution

The fourth proportional to 6,543.69, 9,029.99 and 3,559.46 is: 4,911.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,543.69 : 9,029.99 = 3,559.46 : x
  2. Step 2: Convert to fraction form
    6,543.69/9,029.99 = 3,559.46/x
  3. Step 3: Cross multiply
    6,543.69x = 9,029.99 × 3,559.46
  4. Step 4: Simplify right side
    6,543.69x = 32,141,869.66
  5. Step 5: Solve for x
    x = 32,141,869.66/6,543.69
  6. Step 6: Final answer
    x = 4,911.89

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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.