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Finding the Fourth Proportional to 7,676.34, 11,454.63 and 6,848.93

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Solution

The fourth proportional to 7,676.34, 11,454.63 and 6,848.93 is: 10,219.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,676.34 : 11,454.63 = 6,848.93 : x
  2. Step 2: Convert to fraction form
    7,676.34/11,454.63 = 6,848.93/x
  3. Step 3: Cross multiply
    7,676.34x = 11,454.63 × 6,848.93
  4. Step 4: Simplify right side
    7,676.34x = 78,451,901.77
  5. Step 5: Solve for x
    x = 78,451,901.77/7,676.34
  6. Step 6: Final answer
    x = 10,219.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.