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Finding the Fourth Proportional to 12,980.37, 19,471.20 and 6,322.98

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Solution

The fourth proportional to 12,980.37, 19,471.20 and 6,322.98 is: 9,484.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,980.37 : 19,471.20 = 6,322.98 : x
  2. Step 2: Convert to fraction form
    12,980.37/19,471.20 = 6,322.98/x
  3. Step 3: Cross multiply
    12,980.37x = 19,471.20 × 6,322.98
  4. Step 4: Simplify right side
    12,980.37x = 123,116,008.18
  5. Step 5: Solve for x
    x = 123,116,008.18/12,980.37
  6. Step 6: Final answer
    x = 9,484.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.