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Finding the Fourth Proportional to 6,204.69, 9,298.35 and 4,811.49

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Solution

The fourth proportional to 6,204.69, 9,298.35 and 4,811.49 is: 7,210.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,204.69 : 9,298.35 = 4,811.49 : x
  2. Step 2: Convert to fraction form
    6,204.69/9,298.35 = 4,811.49/x
  3. Step 3: Cross multiply
    6,204.69x = 9,298.35 × 4,811.49
  4. Step 4: Simplify right side
    6,204.69x = 44,738,918.04
  5. Step 5: Solve for x
    x = 44,738,918.04/6,204.69
  6. Step 6: Final answer
    x = 7,210.50

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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.