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Finding the Fourth Proportional to 7,088.99, 9,782.17 and 4,105.55

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Solution

The fourth proportional to 7,088.99, 9,782.17 and 4,105.55 is: 5,665.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,088.99 : 9,782.17 = 4,105.55 : x
  2. Step 2: Convert to fraction form
    7,088.99/9,782.17 = 4,105.55/x
  3. Step 3: Cross multiply
    7,088.99x = 9,782.17 × 4,105.55
  4. Step 4: Simplify right side
    7,088.99x = 40,161,202.24
  5. Step 5: Solve for x
    x = 40,161,202.24/7,088.99
  6. Step 6: Final answer
    x = 5,665.30

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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.