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Finding the Fourth Proportional to 7,641.60, 11,462.01 and 2,094.54

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Solution

The fourth proportional to 7,641.60, 11,462.01 and 2,094.54 is: 3,141.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,641.60 : 11,462.01 = 2,094.54 : x
  2. Step 2: Convert to fraction form
    7,641.60/11,462.01 = 2,094.54/x
  3. Step 3: Cross multiply
    7,641.60x = 11,462.01 × 2,094.54
  4. Step 4: Simplify right side
    7,641.60x = 24,007,638.43
  5. Step 5: Solve for x
    x = 24,007,638.43/7,641.60
  6. Step 6: Final answer
    x = 3,141.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.