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Finding the Fourth Proportional to 6,548.98, 9,819.74 and 4,471.50

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Solution

The fourth proportional to 6,548.98, 9,819.74 and 4,471.50 is: 6,704.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,548.98 : 9,819.74 = 4,471.50 : x
  2. Step 2: Convert to fraction form
    6,548.98/9,819.74 = 4,471.50/x
  3. Step 3: Cross multiply
    6,548.98x = 9,819.74 × 4,471.50
  4. Step 4: Simplify right side
    6,548.98x = 43,908,967.41
  5. Step 5: Solve for x
    x = 43,908,967.41/6,548.98
  6. Step 6: Final answer
    x = 6,704.70

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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.