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Finding the Fourth Proportional to 9,164.40, 13,746.60 and 6,394.20

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Solution

The fourth proportional to 9,164.40, 13,746.60 and 6,394.20 is: 9,591.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,164.40 : 13,746.60 = 6,394.20 : x
  2. Step 2: Convert to fraction form
    9,164.40/13,746.60 = 6,394.20/x
  3. Step 3: Cross multiply
    9,164.40x = 13,746.60 × 6,394.20
  4. Step 4: Simplify right side
    9,164.40x = 87,898,509.72
  5. Step 5: Solve for x
    x = 87,898,509.72/9,164.40
  6. Step 6: Final answer
    x = 9,591.30

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Similar ratio
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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.