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Finding the Fourth Proportional to 12,473.70, 18,713.15 and 4,156.30

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Solution

The fourth proportional to 12,473.70, 18,713.15 and 4,156.30 is: 6,235.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,473.70 : 18,713.15 = 4,156.30 : x
  2. Step 2: Convert to fraction form
    12,473.70/18,713.15 = 4,156.30/x
  3. Step 3: Cross multiply
    12,473.70x = 18,713.15 × 4,156.30
  4. Step 4: Simplify right side
    12,473.70x = 77,777,465.35
  5. Step 5: Solve for x
    x = 77,777,465.35/12,473.70
  6. Step 6: Final answer
    x = 6,235.32

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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.