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Finding the Fourth Proportional to 9,494.96, 14,245.50 and 4,564.97

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Solution

The fourth proportional to 9,494.96, 14,245.50 and 4,564.97 is: 6,848.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,494.96 : 14,245.50 = 4,564.97 : x
  2. Step 2: Convert to fraction form
    9,494.96/14,245.50 = 4,564.97/x
  3. Step 3: Cross multiply
    9,494.96x = 14,245.50 × 4,564.97
  4. Step 4: Simplify right side
    9,494.96x = 65,030,279.45
  5. Step 5: Solve for x
    x = 65,030,279.45/9,494.96
  6. Step 6: Final answer
    x = 6,848.93

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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.