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Finding the Fourth Proportional to 6,783.54, 10,143.57 and 4,829.82

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Solution

The fourth proportional to 6,783.54, 10,143.57 and 4,829.82 is: 7,222.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,783.54 : 10,143.57 = 4,829.82 : x
  2. Step 2: Convert to fraction form
    6,783.54/10,143.57 = 4,829.82/x
  3. Step 3: Cross multiply
    6,783.54x = 10,143.57 × 4,829.82
  4. Step 4: Simplify right side
    6,783.54x = 48,991,617.26
  5. Step 5: Solve for x
    x = 48,991,617.26/6,783.54
  6. Step 6: Final answer
    x = 7,222.13

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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.