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Finding the Fourth Proportional to 4,784.82, 7,159.20 and 4,299.23

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Solution

The fourth proportional to 4,784.82, 7,159.20 and 4,299.23 is: 6,432.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,784.82 : 7,159.20 = 4,299.23 : x
  2. Step 2: Convert to fraction form
    4,784.82/7,159.20 = 4,299.23/x
  3. Step 3: Cross multiply
    4,784.82x = 7,159.20 × 4,299.23
  4. Step 4: Simplify right side
    4,784.82x = 30,778,990.12
  5. Step 5: Solve for x
    x = 30,778,990.12/4,784.82
  6. Step 6: Final answer
    x = 6,432.63

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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.