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Finding the Fourth Proportional to 6,509.05, 8,982.51 and 3,524.88

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Solution

The fourth proportional to 6,509.05, 8,982.51 and 3,524.88 is: 4,864.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.05 : 8,982.51 = 3,524.88 : x
  2. Step 2: Convert to fraction form
    6,509.05/8,982.51 = 3,524.88/x
  3. Step 3: Cross multiply
    6,509.05x = 8,982.51 × 3,524.88
  4. Step 4: Simplify right side
    6,509.05x = 31,662,269.85
  5. Step 5: Solve for x
    x = 31,662,269.85/6,509.05
  6. Step 6: Final answer
    x = 4,864.35

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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.