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Finding the Fourth Proportional to 14,188.25, 19,579.92 and 7,814.87

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Solution

The fourth proportional to 14,188.25, 19,579.92 and 7,814.87 is: 10,784.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,188.25 : 19,579.92 = 7,814.87 : x
  2. Step 2: Convert to fraction form
    14,188.25/19,579.92 = 7,814.87/x
  3. Step 3: Cross multiply
    14,188.25x = 19,579.92 × 7,814.87
  4. Step 4: Simplify right side
    14,188.25x = 153,014,500.00
  5. Step 5: Solve for x
    x = 153,014,500.00/14,188.25
  6. Step 6: Final answer
    x = 10,784.59

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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.