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Finding the Fourth Proportional to 17,846.68, 24,628.74 and 10,771.48

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Solution

The fourth proportional to 17,846.68, 24,628.74 and 10,771.48 is: 14,864.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,846.68 : 24,628.74 = 10,771.48 : x
  2. Step 2: Convert to fraction form
    17,846.68/24,628.74 = 10,771.48/x
  3. Step 3: Cross multiply
    17,846.68x = 24,628.74 × 10,771.48
  4. Step 4: Simplify right side
    17,846.68x = 265,287,980.34
  5. Step 5: Solve for x
    x = 265,287,980.34/17,846.68
  6. Step 6: Final answer
    x = 14,864.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.