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Finding the Fourth Proportional to 10,634.64, 14,676.60 and 6,159.60

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Solution

The fourth proportional to 10,634.64, 14,676.60 and 6,159.60 is: 8,500.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,634.64 : 14,676.60 = 6,159.60 : x
  2. Step 2: Convert to fraction form
    10,634.64/14,676.60 = 6,159.60/x
  3. Step 3: Cross multiply
    10,634.64x = 14,676.60 × 6,159.60
  4. Step 4: Simplify right side
    10,634.64x = 90,401,985.36
  5. Step 5: Solve for x
    x = 90,401,985.36/10,634.64
  6. Step 6: Final answer
    x = 8,500.71

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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.