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Finding the Fourth Proportional to 3,506.76, 4,834.10 and 2,943

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Solution

The fourth proportional to 3,506.76, 4,834.10 and 2,943 is: 4,056.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506.76 : 4,834.10 = 2,943 : x
  2. Step 2: Convert to fraction form
    3,506.76/4,834.10 = 2,943/x
  3. Step 3: Cross multiply
    3,506.76x = 4,834.10 × 2,943
  4. Step 4: Simplify right side
    3,506.76x = 14,226,756.30
  5. Step 5: Solve for x
    x = 14,226,756.30/3,506.76
  6. Step 6: Final answer
    x = 4,056.95

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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.