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Finding the Fourth Proportional to 4,800, 6,609.96 and 4,597.68

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Solution

The fourth proportional to 4,800, 6,609.96 and 4,597.68 is: 6,331.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,800 : 6,609.96 = 4,597.68 : x
  2. Step 2: Convert to fraction form
    4,800/6,609.96 = 4,597.68/x
  3. Step 3: Cross multiply
    4,800x = 6,609.96 × 4,597.68
  4. Step 4: Simplify right side
    4,800x = 30,390,480.89
  5. Step 5: Solve for x
    x = 30,390,480.89/4,800
  6. Step 6: Final answer
    x = 6,331.35

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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.