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Finding the Fourth Proportional to 9,164.64, 13,746.93 and 6,235.68

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Solution

The fourth proportional to 9,164.64, 13,746.93 and 6,235.68 is: 9,353.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,164.64 : 13,746.93 = 6,235.68 : x
  2. Step 2: Convert to fraction form
    9,164.64/13,746.93 = 6,235.68/x
  3. Step 3: Cross multiply
    9,164.64x = 13,746.93 × 6,235.68
  4. Step 4: Simplify right side
    9,164.64x = 85,721,456.46
  5. Step 5: Solve for x
    x = 85,721,456.46/9,164.64
  6. Step 6: Final answer
    x = 9,353.50

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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.