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Finding the Fourth Proportional to 12,594.34, 17,370.75 and 12,035.98

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Solution

The fourth proportional to 12,594.34, 17,370.75 and 12,035.98 is: 16,600.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,594.34 : 17,370.75 = 12,035.98 : x
  2. Step 2: Convert to fraction form
    12,594.34/17,370.75 = 12,035.98/x
  3. Step 3: Cross multiply
    12,594.34x = 17,370.75 × 12,035.98
  4. Step 4: Simplify right side
    12,594.34x = 209,073,999.59
  5. Step 5: Solve for x
    x = 209,073,999.59/12,594.34
  6. Step 6: Final answer
    x = 16,600.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.