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Finding the Fourth Proportional to 33,114.80, 49,655.10 and 9,738.20

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Solution

The fourth proportional to 33,114.80, 49,655.10 and 9,738.20 is: 14,602.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,114.80 : 49,655.10 = 9,738.20 : x
  2. Step 2: Convert to fraction form
    33,114.80/49,655.10 = 9,738.20/x
  3. Step 3: Cross multiply
    33,114.80x = 49,655.10 × 9,738.20
  4. Step 4: Simplify right side
    33,114.80x = 483,551,294.82
  5. Step 5: Solve for x
    x = 483,551,294.82/33,114.80
  6. Step 6: Final answer
    x = 14,602.27

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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.