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Finding the Fourth Proportional to 10,946.60, 16,419.90 and 8,030.60

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Solution

The fourth proportional to 10,946.60, 16,419.90 and 8,030.60 is: 12,045.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,946.60 : 16,419.90 = 8,030.60 : x
  2. Step 2: Convert to fraction form
    10,946.60/16,419.90 = 8,030.60/x
  3. Step 3: Cross multiply
    10,946.60x = 16,419.90 × 8,030.60
  4. Step 4: Simplify right side
    10,946.60x = 131,861,648.94
  5. Step 5: Solve for x
    x = 131,861,648.94/10,946.60
  6. Step 6: Final answer
    x = 12,045.90

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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.