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Finding the Fourth Proportional to 9,676.56, 13,353.44 and 6,312.98

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Solution

The fourth proportional to 9,676.56, 13,353.44 and 6,312.98 is: 8,711.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,676.56 : 13,353.44 = 6,312.98 : x
  2. Step 2: Convert to fraction form
    9,676.56/13,353.44 = 6,312.98/x
  3. Step 3: Cross multiply
    9,676.56x = 13,353.44 × 6,312.98
  4. Step 4: Simplify right side
    9,676.56x = 84,299,999.65
  5. Step 5: Solve for x
    x = 84,299,999.65/9,676.56
  6. Step 6: Final answer
    x = 8,711.77

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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.