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Finding the Fourth Proportional to 9,130.59, 13,629.83 and 8,023.42

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Solution

The fourth proportional to 9,130.59, 13,629.83 and 8,023.42 is: 11,977.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,130.59 : 13,629.83 = 8,023.42 : x
  2. Step 2: Convert to fraction form
    9,130.59/13,629.83 = 8,023.42/x
  3. Step 3: Cross multiply
    9,130.59x = 13,629.83 × 8,023.42
  4. Step 4: Simplify right side
    9,130.59x = 109,357,850.62
  5. Step 5: Solve for x
    x = 109,357,850.62/9,130.59
  6. Step 6: Final answer
    x = 11,977.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.