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Finding the Fourth Proportional to 7,676.81, 10,593.89 and 4,492.30

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Solution

The fourth proportional to 7,676.81, 10,593.89 and 4,492.30 is: 6,199.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,676.81 : 10,593.89 = 4,492.30 : x
  2. Step 2: Convert to fraction form
    7,676.81/10,593.89 = 4,492.30/x
  3. Step 3: Cross multiply
    7,676.81x = 10,593.89 × 4,492.30
  4. Step 4: Simplify right side
    7,676.81x = 47,590,932.05
  5. Step 5: Solve for x
    x = 47,590,932.05/7,676.81
  6. Step 6: Final answer
    x = 6,199.31

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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.