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Finding the Fourth Proportional to 24,231.84, 36,347.64 and 6,701.64

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Solution

The fourth proportional to 24,231.84, 36,347.64 and 6,701.64 is: 10,052.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,231.84 : 36,347.64 = 6,701.64 : x
  2. Step 2: Convert to fraction form
    24,231.84/36,347.64 = 6,701.64/x
  3. Step 3: Cross multiply
    24,231.84x = 36,347.64 × 6,701.64
  4. Step 4: Simplify right side
    24,231.84x = 243,588,798.13
  5. Step 5: Solve for x
    x = 243,588,798.13/24,231.84
  6. Step 6: Final answer
    x = 10,052.43

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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.