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Finding the Fourth Proportional to 8,094.42, 11,157.62 and 7,416.45

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Solution

The fourth proportional to 8,094.42, 11,157.62 and 7,416.45 is: 10,223.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,094.42 : 11,157.62 = 7,416.45 : x
  2. Step 2: Convert to fraction form
    8,094.42/11,157.62 = 7,416.45/x
  3. Step 3: Cross multiply
    8,094.42x = 11,157.62 × 7,416.45
  4. Step 4: Simplify right side
    8,094.42x = 82,749,893.77
  5. Step 5: Solve for x
    x = 82,749,893.77/8,094.42
  6. Step 6: Final answer
    x = 10,223.08

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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.