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Finding the Fourth Proportional to 10,635.76, 14,676.78 and 6,159.16

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Solution

The fourth proportional to 10,635.76, 14,676.78 and 6,159.16 is: 8,499.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,635.76 : 14,676.78 = 6,159.16 : x
  2. Step 2: Convert to fraction form
    10,635.76/14,676.78 = 6,159.16/x
  3. Step 3: Cross multiply
    10,635.76x = 14,676.78 × 6,159.16
  4. Step 4: Simplify right side
    10,635.76x = 90,396,636.30
  5. Step 5: Solve for x
    x = 90,396,636.30/10,635.76
  6. Step 6: Final answer
    x = 8,499.31

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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.