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Finding the Fourth Proportional to 6,527.88, 8,993.70 and 6,216.84

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Solution

The fourth proportional to 6,527.88, 8,993.70 and 6,216.84 is: 8,565.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,527.88 : 8,993.70 = 6,216.84 : x
  2. Step 2: Convert to fraction form
    6,527.88/8,993.70 = 6,216.84/x
  3. Step 3: Cross multiply
    6,527.88x = 8,993.70 × 6,216.84
  4. Step 4: Simplify right side
    6,527.88x = 55,912,393.91
  5. Step 5: Solve for x
    x = 55,912,393.91/6,527.88
  6. Step 6: Final answer
    x = 8,565.17

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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.