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Finding the Fourth Proportional to 14,084.88, 21,148.08 and 7,857.06

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Solution

The fourth proportional to 14,084.88, 21,148.08 and 7,857.06 is: 11,797.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,084.88 : 21,148.08 = 7,857.06 : x
  2. Step 2: Convert to fraction form
    14,084.88/21,148.08 = 7,857.06/x
  3. Step 3: Cross multiply
    14,084.88x = 21,148.08 × 7,857.06
  4. Step 4: Simplify right side
    14,084.88x = 166,161,733.44
  5. Step 5: Solve for x
    x = 166,161,733.44/14,084.88
  6. Step 6: Final answer
    x = 11,797.17

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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.