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Finding the Fourth Proportional to 7,776.01, 11,665.43 and 3,094.53

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Solution

The fourth proportional to 7,776.01, 11,665.43 and 3,094.53 is: 4,642.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776.01 : 11,665.43 = 3,094.53 : x
  2. Step 2: Convert to fraction form
    7,776.01/11,665.43 = 3,094.53/x
  3. Step 3: Cross multiply
    7,776.01x = 11,665.43 × 3,094.53
  4. Step 4: Simplify right side
    7,776.01x = 36,099,023.10
  5. Step 5: Solve for x
    x = 36,099,023.10/7,776.01
  6. Step 6: Final answer
    x = 4,642.36

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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.