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Finding the Fourth Proportional to 9,094.76, 13,642.10 and 7,858.39

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Solution

The fourth proportional to 9,094.76, 13,642.10 and 7,858.39 is: 11,787.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,094.76 : 13,642.10 = 7,858.39 : x
  2. Step 2: Convert to fraction form
    9,094.76/13,642.10 = 7,858.39/x
  3. Step 3: Cross multiply
    9,094.76x = 13,642.10 × 7,858.39
  4. Step 4: Simplify right side
    9,094.76x = 107,204,834.72
  5. Step 5: Solve for x
    x = 107,204,834.72/9,094.76
  6. Step 6: Final answer
    x = 11,787.54

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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.