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Finding the Fourth Proportional to 15,754.83, 21,741.59 and 8,584.22

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Solution

The fourth proportional to 15,754.83, 21,741.59 and 8,584.22 is: 11,846.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,754.83 : 21,741.59 = 8,584.22 : x
  2. Step 2: Convert to fraction form
    15,754.83/21,741.59 = 8,584.22/x
  3. Step 3: Cross multiply
    15,754.83x = 21,741.59 × 8,584.22
  4. Step 4: Simplify right side
    15,754.83x = 186,634,440.08
  5. Step 5: Solve for x
    x = 186,634,440.08/15,754.83
  6. Step 6: Final answer
    x = 11,846.17

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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.