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Finding the Fourth Proportional to 12,958.49, 19,443.20 and 6,384.74

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Solution

The fourth proportional to 12,958.49, 19,443.20 and 6,384.74 is: 9,579.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,958.49 : 19,443.20 = 6,384.74 : x
  2. Step 2: Convert to fraction form
    12,958.49/19,443.20 = 6,384.74/x
  3. Step 3: Cross multiply
    12,958.49x = 19,443.20 × 6,384.74
  4. Step 4: Simplify right side
    12,958.49x = 124,139,647.63
  5. Step 5: Solve for x
    x = 124,139,647.63/12,958.49
  6. Step 6: Final answer
    x = 9,579.80

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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.