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Finding the Fourth Proportional to 7,898.91, 11,838.08 and 3,213.46

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Solution

The fourth proportional to 7,898.91, 11,838.08 and 3,213.46 is: 4,816.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,898.91 : 11,838.08 = 3,213.46 : x
  2. Step 2: Convert to fraction form
    7,898.91/11,838.08 = 3,213.46/x
  3. Step 3: Cross multiply
    7,898.91x = 11,838.08 × 3,213.46
  4. Step 4: Simplify right side
    7,898.91x = 38,041,137.37
  5. Step 5: Solve for x
    x = 38,041,137.37/7,898.91
  6. Step 6: Final answer
    x = 4,816.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.