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Finding the Fourth Proportional to 7,675.96, 11,454.07 and 6,848.54

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Solution

The fourth proportional to 7,675.96, 11,454.07 and 6,848.54 is: 10,219.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,675.96 : 11,454.07 = 6,848.54 : x
  2. Step 2: Convert to fraction form
    7,675.96/11,454.07 = 6,848.54/x
  3. Step 3: Cross multiply
    7,675.96x = 11,454.07 × 6,848.54
  4. Step 4: Simplify right side
    7,675.96x = 78,443,693.75
  5. Step 5: Solve for x
    x = 78,443,693.75/7,675.96
  6. Step 6: Final answer
    x = 10,219.40

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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.