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Finding the Fourth Proportional to 15,697.70, 23,536.75 and 7,374.14

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Solution

The fourth proportional to 15,697.70, 23,536.75 and 7,374.14 is: 11,056.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,697.70 : 23,536.75 = 7,374.14 : x
  2. Step 2: Convert to fraction form
    15,697.70/23,536.75 = 7,374.14/x
  3. Step 3: Cross multiply
    15,697.70x = 23,536.75 × 7,374.14
  4. Step 4: Simplify right side
    15,697.70x = 173,563,289.65
  5. Step 5: Solve for x
    x = 173,563,289.65/15,697.70
  6. Step 6: Final answer
    x = 11,056.61

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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.