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Finding the Fourth Proportional to 6,511.98, 8,986.50 and 3,527.74

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Solution

The fourth proportional to 6,511.98, 8,986.50 and 3,527.74 is: 4,868.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,511.98 : 8,986.50 = 3,527.74 : x
  2. Step 2: Convert to fraction form
    6,511.98/8,986.50 = 3,527.74/x
  3. Step 3: Cross multiply
    6,511.98x = 8,986.50 × 3,527.74
  4. Step 4: Simplify right side
    6,511.98x = 31,702,035.51
  5. Step 5: Solve for x
    x = 31,702,035.51/6,511.98
  6. Step 6: Final answer
    x = 4,868.26

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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.