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Finding the Fourth Proportional to 7,796.16, 11,686.95 and 3,416.22

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Solution

The fourth proportional to 7,796.16, 11,686.95 and 3,416.22 is: 5,121.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,796.16 : 11,686.95 = 3,416.22 : x
  2. Step 2: Convert to fraction form
    7,796.16/11,686.95 = 3,416.22/x
  3. Step 3: Cross multiply
    7,796.16x = 11,686.95 × 3,416.22
  4. Step 4: Simplify right side
    7,796.16x = 39,925,192.33
  5. Step 5: Solve for x
    x = 39,925,192.33/7,796.16
  6. Step 6: Final answer
    x = 5,121.14

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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.