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Finding the Fourth Proportional to 12,980.38, 19,473 and 6,054.88

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Solution

The fourth proportional to 12,980.38, 19,473 and 6,054.88 is: 9,083.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,980.38 : 19,473 = 6,054.88 : x
  2. Step 2: Convert to fraction form
    12,980.38/19,473 = 6,054.88/x
  3. Step 3: Cross multiply
    12,980.38x = 19,473 × 6,054.88
  4. Step 4: Simplify right side
    12,980.38x = 117,906,678.24
  5. Step 5: Solve for x
    x = 117,906,678.24/12,980.38
  6. Step 6: Final answer
    x = 9,083.45

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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.