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Finding the Fourth Proportional to 10,703.61, 16,026.26 and 8,323.43

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Solution

The fourth proportional to 10,703.61, 16,026.26 and 8,323.43 is: 12,462.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,703.61 : 16,026.26 = 8,323.43 : x
  2. Step 2: Convert to fraction form
    10,703.61/16,026.26 = 8,323.43/x
  3. Step 3: Cross multiply
    10,703.61x = 16,026.26 × 8,323.43
  4. Step 4: Simplify right side
    10,703.61x = 133,393,331.52
  5. Step 5: Solve for x
    x = 133,393,331.52/10,703.61
  6. Step 6: Final answer
    x = 12,462.46

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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.