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Finding the Fourth Proportional to 12,675.70, 18,985.82 and 6,424.98

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Solution

The fourth proportional to 12,675.70, 18,985.82 and 6,424.98 is: 9,623.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,675.70 : 18,985.82 = 6,424.98 : x
  2. Step 2: Convert to fraction form
    12,675.70/18,985.82 = 6,424.98/x
  3. Step 3: Cross multiply
    12,675.70x = 18,985.82 × 6,424.98
  4. Step 4: Simplify right side
    12,675.70x = 121,983,513.78
  5. Step 5: Solve for x
    x = 121,983,513.78/12,675.70
  6. Step 6: Final answer
    x = 9,623.41

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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.