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Finding the Fourth Proportional to 9,683.12, 14,524.68 and 5,784.32

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Solution

The fourth proportional to 9,683.12, 14,524.68 and 5,784.32 is: 8,676.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,683.12 : 14,524.68 = 5,784.32 : x
  2. Step 2: Convert to fraction form
    9,683.12/14,524.68 = 5,784.32/x
  3. Step 3: Cross multiply
    9,683.12x = 14,524.68 × 5,784.32
  4. Step 4: Simplify right side
    9,683.12x = 84,015,397.02
  5. Step 5: Solve for x
    x = 84,015,397.02/9,683.12
  6. Step 6: Final answer
    x = 8,676.48

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Double scale
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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.