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Finding the Fourth Proportional to 12,974.00, 19,460.99 and 5,184.63

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Solution

The fourth proportional to 12,974.00, 19,460.99 and 5,184.63 is: 7,776.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,974.00 : 19,460.99 = 5,184.63 : x
  2. Step 2: Convert to fraction form
    12,974.00/19,460.99 = 5,184.63/x
  3. Step 3: Cross multiply
    12,974.00x = 19,460.99 × 5,184.63
  4. Step 4: Simplify right side
    12,974.00x = 100,898,045.55
  5. Step 5: Solve for x
    x = 100,898,045.55/12,974.00
  6. Step 6: Final answer
    x = 7,776.95

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Double scale
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Similar ratio
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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.