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Finding the Fourth Proportional to 6,914.46, 9,543.78 and 4,560.06

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Solution

The fourth proportional to 6,914.46, 9,543.78 and 4,560.06 is: 6,294.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,914.46 : 9,543.78 = 4,560.06 : x
  2. Step 2: Convert to fraction form
    6,914.46/9,543.78 = 4,560.06/x
  3. Step 3: Cross multiply
    6,914.46x = 9,543.78 × 4,560.06
  4. Step 4: Simplify right side
    6,914.46x = 43,520,209.43
  5. Step 5: Solve for x
    x = 43,520,209.43/6,914.46
  6. Step 6: Final answer
    x = 6,294.09

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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.