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Finding the Fourth Proportional to 9,494.58, 14,239.37 and 6,532.40

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Solution

The fourth proportional to 9,494.58, 14,239.37 and 6,532.40 is: 9,796.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,494.58 : 14,239.37 = 6,532.40 : x
  2. Step 2: Convert to fraction form
    9,494.58/14,239.37 = 6,532.40/x
  3. Step 3: Cross multiply
    9,494.58x = 14,239.37 × 6,532.40
  4. Step 4: Simplify right side
    9,494.58x = 93,017,260.59
  5. Step 5: Solve for x
    x = 93,017,260.59/9,494.58
  6. Step 6: Final answer
    x = 9,796.88

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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.