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Finding the Fourth Proportional to 16,409.60, 24,616.80 and 5,314.40

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Solution

The fourth proportional to 16,409.60, 24,616.80 and 5,314.40 is: 7,972.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,409.60 : 24,616.80 = 5,314.40 : x
  2. Step 2: Convert to fraction form
    16,409.60/24,616.80 = 5,314.40/x
  3. Step 3: Cross multiply
    16,409.60x = 24,616.80 × 5,314.40
  4. Step 4: Simplify right side
    16,409.60x = 130,823,521.92
  5. Step 5: Solve for x
    x = 130,823,521.92/16,409.60
  6. Step 6: Final answer
    x = 7,972.38

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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.