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Finding the Fourth Proportional to 6,511.76, 8,986.16 and 3,527.56

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Solution

The fourth proportional to 6,511.76, 8,986.16 and 3,527.56 is: 4,867.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,511.76 : 8,986.16 = 3,527.56 : x
  2. Step 2: Convert to fraction form
    6,511.76/8,986.16 = 3,527.56/x
  3. Step 3: Cross multiply
    6,511.76x = 8,986.16 × 3,527.56
  4. Step 4: Simplify right side
    6,511.76x = 31,699,156.00
  5. Step 5: Solve for x
    x = 31,699,156.00/6,511.76
  6. Step 6: Final answer
    x = 4,867.99

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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.