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Finding the Fourth Proportional to 10,941.30, 16,411.95 and 4,014.90

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Solution

The fourth proportional to 10,941.30, 16,411.95 and 4,014.90 is: 6,022.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,941.30 : 16,411.95 = 4,014.90 : x
  2. Step 2: Convert to fraction form
    10,941.30/16,411.95 = 4,014.90/x
  3. Step 3: Cross multiply
    10,941.30x = 16,411.95 × 4,014.90
  4. Step 4: Simplify right side
    10,941.30x = 65,892,338.06
  5. Step 5: Solve for x
    x = 65,892,338.06/10,941.30
  6. Step 6: Final answer
    x = 6,022.35

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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.