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Finding the Fourth Proportional to 12,202.68, 16,848.38 and 9,646.62

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Solution

The fourth proportional to 12,202.68, 16,848.38 and 9,646.62 is: 13,319.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,202.68 : 16,848.38 = 9,646.62 : x
  2. Step 2: Convert to fraction form
    12,202.68/16,848.38 = 9,646.62/x
  3. Step 3: Cross multiply
    12,202.68x = 16,848.38 × 9,646.62
  4. Step 4: Simplify right side
    12,202.68x = 162,529,871.24
  5. Step 5: Solve for x
    x = 162,529,871.24/12,202.68
  6. Step 6: Final answer
    x = 13,319.19

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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.