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Finding the Fourth Proportional to 23,697.65, 35,566.93 and 9,665.42

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Solution

The fourth proportional to 23,697.65, 35,566.93 and 9,665.42 is: 14,506.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,697.65 : 35,566.93 = 9,665.42 : x
  2. Step 2: Convert to fraction form
    23,697.65/35,566.93 = 9,665.42/x
  3. Step 3: Cross multiply
    23,697.65x = 35,566.93 × 9,665.42
  4. Step 4: Simplify right side
    23,697.65x = 343,769,316.56
  5. Step 5: Solve for x
    x = 343,769,316.56/23,697.65
  6. Step 6: Final answer
    x = 14,506.47

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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.