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Finding the Fourth Proportional to 4,654.88, 6,423.73 and 2,559

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Solution

The fourth proportional to 4,654.88, 6,423.73 and 2,559 is: 3,531.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,654.88 : 6,423.73 = 2,559 : x
  2. Step 2: Convert to fraction form
    4,654.88/6,423.73 = 2,559/x
  3. Step 3: Cross multiply
    4,654.88x = 6,423.73 × 2,559
  4. Step 4: Simplify right side
    4,654.88x = 16,438,318.67
  5. Step 5: Solve for x
    x = 16,438,318.67/4,654.88
  6. Step 6: Final answer
    x = 3,531.42

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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.