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Finding the Fourth Proportional to 12,019.11, 16,584.80 and 6,713.07

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Solution

The fourth proportional to 12,019.11, 16,584.80 and 6,713.07 is: 9,263.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,019.11 : 16,584.80 = 6,713.07 : x
  2. Step 2: Convert to fraction form
    12,019.11/16,584.80 = 6,713.07/x
  3. Step 3: Cross multiply
    12,019.11x = 16,584.80 × 6,713.07
  4. Step 4: Simplify right side
    12,019.11x = 111,334,889.77
  5. Step 5: Solve for x
    x = 111,334,889.77/12,019.11
  6. Step 6: Final answer
    x = 9,263.16

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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.