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Finding the Fourth Proportional to 6,584.88, 9,019.80 and 6,500.64

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Solution

The fourth proportional to 6,584.88, 9,019.80 and 6,500.64 is: 8,904.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584.88 : 9,019.80 = 6,500.64 : x
  2. Step 2: Convert to fraction form
    6,584.88/9,019.80 = 6,500.64/x
  3. Step 3: Cross multiply
    6,584.88x = 9,019.80 × 6,500.64
  4. Step 4: Simplify right side
    6,584.88x = 58,634,472.67
  5. Step 5: Solve for x
    x = 58,634,472.67/6,584.88
  6. Step 6: Final answer
    x = 8,904.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.