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Finding the Fourth Proportional to 26,978.57, 40,467.90 and 9,444.30

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Solution

The fourth proportional to 26,978.57, 40,467.90 and 9,444.30 is: 14,166.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,978.57 : 40,467.90 = 9,444.30 : x
  2. Step 2: Convert to fraction form
    26,978.57/40,467.90 = 9,444.30/x
  3. Step 3: Cross multiply
    26,978.57x = 40,467.90 × 9,444.30
  4. Step 4: Simplify right side
    26,978.57x = 382,190,871.63
  5. Step 5: Solve for x
    x = 382,190,871.63/26,978.57
  6. Step 6: Final answer
    x = 14,166.46

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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.