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Finding the Fourth Proportional to 7,150.99, 10,724.77 and 2,471.16

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Solution

The fourth proportional to 7,150.99, 10,724.77 and 2,471.16 is: 3,706.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,150.99 : 10,724.77 = 2,471.16 : x
  2. Step 2: Convert to fraction form
    7,150.99/10,724.77 = 2,471.16/x
  3. Step 3: Cross multiply
    7,150.99x = 10,724.77 × 2,471.16
  4. Step 4: Simplify right side
    7,150.99x = 26,502,622.63
  5. Step 5: Solve for x
    x = 26,502,622.63/7,150.99
  6. Step 6: Final answer
    x = 3,706.15

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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.