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Finding the Fourth Proportional to 14,216.54, 19,619.68 and 7,843.14

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Solution

The fourth proportional to 14,216.54, 19,619.68 and 7,843.14 is: 10,824.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,216.54 : 19,619.68 = 7,843.14 : x
  2. Step 2: Convert to fraction form
    14,216.54/19,619.68 = 7,843.14/x
  3. Step 3: Cross multiply
    14,216.54x = 19,619.68 × 7,843.14
  4. Step 4: Simplify right side
    14,216.54x = 153,879,897.00
  5. Step 5: Solve for x
    x = 153,879,897.00/14,216.54
  6. Step 6: Final answer
    x = 10,824.00

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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.