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Finding the Fourth Proportional to 23,609.67, 35,416.02 and 7,814.06

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Solution

The fourth proportional to 23,609.67, 35,416.02 and 7,814.06 is: 11,721.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,609.67 : 35,416.02 = 7,814.06 : x
  2. Step 2: Convert to fraction form
    23,609.67/35,416.02 = 7,814.06/x
  3. Step 3: Cross multiply
    23,609.67x = 35,416.02 × 7,814.06
  4. Step 4: Simplify right side
    23,609.67x = 276,742,905.24
  5. Step 5: Solve for x
    x = 276,742,905.24/23,609.67
  6. Step 6: Final answer
    x = 11,721.59

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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.