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Finding the Fourth Proportional to 12,703.83, 19,048.05 and 5,682.53

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Solution

The fourth proportional to 12,703.83, 19,048.05 and 5,682.53 is: 8,520.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,703.83 : 19,048.05 = 5,682.53 : x
  2. Step 2: Convert to fraction form
    12,703.83/19,048.05 = 5,682.53/x
  3. Step 3: Cross multiply
    12,703.83x = 19,048.05 × 5,682.53
  4. Step 4: Simplify right side
    12,703.83x = 108,241,087.15
  5. Step 5: Solve for x
    x = 108,241,087.15/12,703.83
  6. Step 6: Final answer
    x = 8,520.35

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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.