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Finding the Fourth Proportional to 11,989, 16,544.63 and 6,684.14

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Solution

The fourth proportional to 11,989, 16,544.63 and 6,684.14 is: 9,224.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,989 : 16,544.63 = 6,684.14 : x
  2. Step 2: Convert to fraction form
    11,989/16,544.63 = 6,684.14/x
  3. Step 3: Cross multiply
    11,989x = 16,544.63 × 6,684.14
  4. Step 4: Simplify right side
    11,989x = 110,586,623.17
  5. Step 5: Solve for x
    x = 110,586,623.17/11,989
  6. Step 6: Final answer
    x = 9,224.01

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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.