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Finding the Fourth Proportional to 16,477.60, 24,711.60 and 5,946.40

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Solution

The fourth proportional to 16,477.60, 24,711.60 and 5,946.40 is: 8,917.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,477.60 : 24,711.60 = 5,946.40 : x
  2. Step 2: Convert to fraction form
    16,477.60/24,711.60 = 5,946.40/x
  3. Step 3: Cross multiply
    16,477.60x = 24,711.60 × 5,946.40
  4. Step 4: Simplify right side
    16,477.60x = 146,945,058.24
  5. Step 5: Solve for x
    x = 146,945,058.24/16,477.60
  6. Step 6: Final answer
    x = 8,917.87

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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.