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Finding the Fourth Proportional to 4,830.83, 7,202.97 and 4,743.35

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Solution

The fourth proportional to 4,830.83, 7,202.97 and 4,743.35 is: 7,072.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,830.83 : 7,202.97 = 4,743.35 : x
  2. Step 2: Convert to fraction form
    4,830.83/7,202.97 = 4,743.35/x
  3. Step 3: Cross multiply
    4,830.83x = 7,202.97 × 4,743.35
  4. Step 4: Simplify right side
    4,830.83x = 34,166,148.02
  5. Step 5: Solve for x
    x = 34,166,148.02/4,830.83
  6. Step 6: Final answer
    x = 7,072.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.