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Finding the Fourth Proportional to 13,693.68, 18,892.20 and 8,027.52

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Solution

The fourth proportional to 13,693.68, 18,892.20 and 8,027.52 is: 11,075.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,693.68 : 18,892.20 = 8,027.52 : x
  2. Step 2: Convert to fraction form
    13,693.68/18,892.20 = 8,027.52/x
  3. Step 3: Cross multiply
    13,693.68x = 18,892.20 × 8,027.52
  4. Step 4: Simplify right side
    13,693.68x = 151,657,513.34
  5. Step 5: Solve for x
    x = 151,657,513.34/13,693.68
  6. Step 6: Final answer
    x = 11,075.00

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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.