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Finding the Fourth Proportional to 26,947.10, 40,416.03 and 7,221.06

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Solution

The fourth proportional to 26,947.10, 40,416.03 and 7,221.06 is: 10,830.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,947.10 : 40,416.03 = 7,221.06 : x
  2. Step 2: Convert to fraction form
    26,947.10/40,416.03 = 7,221.06/x
  3. Step 3: Cross multiply
    26,947.10x = 40,416.03 × 7,221.06
  4. Step 4: Simplify right side
    26,947.10x = 291,846,577.59
  5. Step 5: Solve for x
    x = 291,846,577.59/26,947.10
  6. Step 6: Final answer
    x = 10,830.35

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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.