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Finding the Fourth Proportional to 6,504.76, 8,972.91 and 4,113.99

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Solution

The fourth proportional to 6,504.76, 8,972.91 and 4,113.99 is: 5,674.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504.76 : 8,972.91 = 4,113.99 : x
  2. Step 2: Convert to fraction form
    6,504.76/8,972.91 = 4,113.99/x
  3. Step 3: Cross multiply
    6,504.76x = 8,972.91 × 4,113.99
  4. Step 4: Simplify right side
    6,504.76x = 36,914,462.01
  5. Step 5: Solve for x
    x = 36,914,462.01/6,504.76
  6. Step 6: Final answer
    x = 5,674.99

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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.