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Finding the Fourth Proportional to 9,584.14, 14,369.28 and 6,456.40

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Solution

The fourth proportional to 9,584.14, 14,369.28 and 6,456.40 is: 9,679.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,584.14 : 14,369.28 = 6,456.40 : x
  2. Step 2: Convert to fraction form
    9,584.14/14,369.28 = 6,456.40/x
  3. Step 3: Cross multiply
    9,584.14x = 14,369.28 × 6,456.40
  4. Step 4: Simplify right side
    9,584.14x = 92,773,819.39
  5. Step 5: Solve for x
    x = 92,773,819.39/9,584.14
  6. Step 6: Final answer
    x = 9,679.93

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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.