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Finding the Fourth Proportional to 12,980.12, 19,472.62 and 6,054.62

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Solution

The fourth proportional to 12,980.12, 19,472.62 and 6,054.62 is: 9,083.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,980.12 : 19,472.62 = 6,054.62 : x
  2. Step 2: Convert to fraction form
    12,980.12/19,472.62 = 6,054.62/x
  3. Step 3: Cross multiply
    12,980.12x = 19,472.62 × 6,054.62
  4. Step 4: Simplify right side
    12,980.12x = 117,899,314.50
  5. Step 5: Solve for x
    x = 117,899,314.50/12,980.12
  6. Step 6: Final answer
    x = 9,083.07

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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.