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Finding the Fourth Proportional to 8,676.50, 11,973.59 and 4,697.60

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Solution

The fourth proportional to 8,676.50, 11,973.59 and 4,697.60 is: 6,482.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,676.50 : 11,973.59 = 4,697.60 : x
  2. Step 2: Convert to fraction form
    8,676.50/11,973.59 = 4,697.60/x
  3. Step 3: Cross multiply
    8,676.50x = 11,973.59 × 4,697.60
  4. Step 4: Simplify right side
    8,676.50x = 56,247,198.10
  5. Step 5: Solve for x
    x = 56,247,198.10/8,676.50
  6. Step 6: Final answer
    x = 6,482.71

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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.