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Finding the Fourth Proportional to 10,797.80, 14,902.05 and 6,548.72

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Solution

The fourth proportional to 10,797.80, 14,902.05 and 6,548.72 is: 9,037.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,797.80 : 14,902.05 = 6,548.72 : x
  2. Step 2: Convert to fraction form
    10,797.80/14,902.05 = 6,548.72/x
  3. Step 3: Cross multiply
    10,797.80x = 14,902.05 × 6,548.72
  4. Step 4: Simplify right side
    10,797.80x = 97,589,245.62
  5. Step 5: Solve for x
    x = 97,589,245.62/10,797.80
  6. Step 6: Final answer
    x = 9,037.89

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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.