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Finding the Fourth Proportional to 6,764.86, 9,347.43 and 5,206.42

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Solution

The fourth proportional to 6,764.86, 9,347.43 and 5,206.42 is: 7,194.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,764.86 : 9,347.43 = 5,206.42 : x
  2. Step 2: Convert to fraction form
    6,764.86/9,347.43 = 5,206.42/x
  3. Step 3: Cross multiply
    6,764.86x = 9,347.43 × 5,206.42
  4. Step 4: Simplify right side
    6,764.86x = 48,666,646.50
  5. Step 5: Solve for x
    x = 48,666,646.50/6,764.86
  6. Step 6: Final answer
    x = 7,194.04

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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.