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Finding the Fourth Proportional to 6,329.34, 9,486.63 and 4,764.33

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Solution

The fourth proportional to 6,329.34, 9,486.63 and 4,764.33 is: 7,140.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,329.34 : 9,486.63 = 4,764.33 : x
  2. Step 2: Convert to fraction form
    6,329.34/9,486.63 = 4,764.33/x
  3. Step 3: Cross multiply
    6,329.34x = 9,486.63 × 4,764.33
  4. Step 4: Simplify right side
    6,329.34x = 45,197,435.91
  5. Step 5: Solve for x
    x = 45,197,435.91/6,329.34
  6. Step 6: Final answer
    x = 7,140.94

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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.