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Finding the Fourth Proportional to 6,523.84, 9,780.90 and 4,438.60

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Solution

The fourth proportional to 6,523.84, 9,780.90 and 4,438.60 is: 6,654.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.84 : 9,780.90 = 4,438.60 : x
  2. Step 2: Convert to fraction form
    6,523.84/9,780.90 = 4,438.60/x
  3. Step 3: Cross multiply
    6,523.84x = 9,780.90 × 4,438.60
  4. Step 4: Simplify right side
    6,523.84x = 43,413,502.74
  5. Step 5: Solve for x
    x = 43,413,502.74/6,523.84
  6. Step 6: Final answer
    x = 6,654.59

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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.