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Finding the Fourth Proportional to 9,311.80, 13,962.90 and 3,465.40

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Solution

The fourth proportional to 9,311.80, 13,962.90 and 3,465.40 is: 5,196.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,311.80 : 13,962.90 = 3,465.40 : x
  2. Step 2: Convert to fraction form
    9,311.80/13,962.90 = 3,465.40/x
  3. Step 3: Cross multiply
    9,311.80x = 13,962.90 × 3,465.40
  4. Step 4: Simplify right side
    9,311.80x = 48,387,033.66
  5. Step 5: Solve for x
    x = 48,387,033.66/9,311.80
  6. Step 6: Final answer
    x = 5,196.31

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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.