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Finding the Fourth Proportional to 6,946.71, 10,416.90 and 2,996.10

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Solution

The fourth proportional to 6,946.71, 10,416.90 and 2,996.10 is: 4,492.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,946.71 : 10,416.90 = 2,996.10 : x
  2. Step 2: Convert to fraction form
    6,946.71/10,416.90 = 2,996.10/x
  3. Step 3: Cross multiply
    6,946.71x = 10,416.90 × 2,996.10
  4. Step 4: Simplify right side
    6,946.71x = 31,210,029.50
  5. Step 5: Solve for x
    x = 31,210,029.50/6,946.71
  6. Step 6: Final answer
    x = 4,492.78

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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.