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Finding the Fourth Proportional to 14,946.46, 20,636.03 and 9,289.64

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Solution

The fourth proportional to 14,946.46, 20,636.03 and 9,289.64 is: 12,825.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,946.46 : 20,636.03 = 9,289.64 : x
  2. Step 2: Convert to fraction form
    14,946.46/20,636.03 = 9,289.64/x
  3. Step 3: Cross multiply
    14,946.46x = 20,636.03 × 9,289.64
  4. Step 4: Simplify right side
    14,946.46x = 191,701,364.54
  5. Step 5: Solve for x
    x = 191,701,364.54/14,946.46
  6. Step 6: Final answer
    x = 12,825.87

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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.