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Finding the Fourth Proportional to 7,784.05, 11,646.85 and 7,362.04

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Solution

The fourth proportional to 7,784.05, 11,646.85 and 7,362.04 is: 11,015.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,784.05 : 11,646.85 = 7,362.04 : x
  2. Step 2: Convert to fraction form
    7,784.05/11,646.85 = 7,362.04/x
  3. Step 3: Cross multiply
    7,784.05x = 11,646.85 × 7,362.04
  4. Step 4: Simplify right side
    7,784.05x = 85,744,575.57
  5. Step 5: Solve for x
    x = 85,744,575.57/7,784.05
  6. Step 6: Final answer
    x = 11,015.42

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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.