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Finding the Fourth Proportional to 14,616.96, 20,160 and 8,946.96

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Solution

The fourth proportional to 14,616.96, 20,160 and 8,946.96 is: 12,339.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,616.96 : 20,160 = 8,946.96 : x
  2. Step 2: Convert to fraction form
    14,616.96/20,160 = 8,946.96/x
  3. Step 3: Cross multiply
    14,616.96x = 20,160 × 8,946.96
  4. Step 4: Simplify right side
    14,616.96x = 180,370,713.60
  5. Step 5: Solve for x
    x = 180,370,713.60/14,616.96
  6. Step 6: Final answer
    x = 12,339.82

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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.