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Finding the Fourth Proportional to 9,693.40, 14,540.10 and 6,352.60

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Solution

The fourth proportional to 9,693.40, 14,540.10 and 6,352.60 is: 9,528.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,693.40 : 14,540.10 = 6,352.60 : x
  2. Step 2: Convert to fraction form
    9,693.40/14,540.10 = 6,352.60/x
  3. Step 3: Cross multiply
    9,693.40x = 14,540.10 × 6,352.60
  4. Step 4: Simplify right side
    9,693.40x = 92,367,439.26
  5. Step 5: Solve for x
    x = 92,367,439.26/9,693.40
  6. Step 6: Final answer
    x = 9,528.90

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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.