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Finding the Fourth Proportional to 16,274.64, 24,409.80 and 4,588.80

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Solution

The fourth proportional to 16,274.64, 24,409.80 and 4,588.80 is: 6,882.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,274.64 : 24,409.80 = 4,588.80 : x
  2. Step 2: Convert to fraction form
    16,274.64/24,409.80 = 4,588.80/x
  3. Step 3: Cross multiply
    16,274.64x = 24,409.80 × 4,588.80
  4. Step 4: Simplify right side
    16,274.64x = 112,011,690.24
  5. Step 5: Solve for x
    x = 112,011,690.24/16,274.64
  6. Step 6: Final answer
    x = 6,882.59

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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.