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Finding the Fourth Proportional to 6,829.79, 9,423.68 and 4,839.62

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Solution

The fourth proportional to 6,829.79, 9,423.68 and 4,839.62 is: 6,677.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,829.79 : 9,423.68 = 4,839.62 : x
  2. Step 2: Convert to fraction form
    6,829.79/9,423.68 = 4,839.62/x
  3. Step 3: Cross multiply
    6,829.79x = 9,423.68 × 4,839.62
  4. Step 4: Simplify right side
    6,829.79x = 45,606,958.89
  5. Step 5: Solve for x
    x = 45,606,958.89/6,829.79
  6. Step 6: Final answer
    x = 6,677.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.