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Finding the Fourth Proportional to 23,609, 35,417.26 and 7,814.60

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Solution

The fourth proportional to 23,609, 35,417.26 and 7,814.60 is: 11,723.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,609 : 35,417.26 = 7,814.60 : x
  2. Step 2: Convert to fraction form
    23,609/35,417.26 = 7,814.60/x
  3. Step 3: Cross multiply
    23,609x = 35,417.26 × 7,814.60
  4. Step 4: Simplify right side
    23,609x = 276,771,720.00
  5. Step 5: Solve for x
    x = 276,771,720.00/23,609
  6. Step 6: Final answer
    x = 11,723.14

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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.