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Finding the Fourth Proportional to 6,705.84, 10,054.84 and 2,024.45

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Solution

The fourth proportional to 6,705.84, 10,054.84 and 2,024.45 is: 3,035.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,705.84 : 10,054.84 = 2,024.45 : x
  2. Step 2: Convert to fraction form
    6,705.84/10,054.84 = 2,024.45/x
  3. Step 3: Cross multiply
    6,705.84x = 10,054.84 × 2,024.45
  4. Step 4: Simplify right side
    6,705.84x = 20,355,520.84
  5. Step 5: Solve for x
    x = 20,355,520.84/6,705.84
  6. Step 6: Final answer
    x = 3,035.49

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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.