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Finding the Fourth Proportional to 4,771.84, 7,150.08 and 4,039.68

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Solution

The fourth proportional to 4,771.84, 7,150.08 and 4,039.68 is: 6,053.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,771.84 : 7,150.08 = 4,039.68 : x
  2. Step 2: Convert to fraction form
    4,771.84/7,150.08 = 4,039.68/x
  3. Step 3: Cross multiply
    4,771.84x = 7,150.08 × 4,039.68
  4. Step 4: Simplify right side
    4,771.84x = 28,884,035.17
  5. Step 5: Solve for x
    x = 28,884,035.17/4,771.84
  6. Step 6: Final answer
    x = 6,053.02

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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.