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Finding the Fourth Proportional to 14,196, 19,593.28 and 8,228.96

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Solution

The fourth proportional to 14,196, 19,593.28 and 8,228.96 is: 11,357.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,196 : 19,593.28 = 8,228.96 : x
  2. Step 2: Convert to fraction form
    14,196/19,593.28 = 8,228.96/x
  3. Step 3: Cross multiply
    14,196x = 19,593.28 × 8,228.96
  4. Step 4: Simplify right side
    14,196x = 161,232,317.39
  5. Step 5: Solve for x
    x = 161,232,317.39/14,196
  6. Step 6: Final answer
    x = 11,357.59

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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.