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Finding the Fourth Proportional to 7,676.32, 11,492.32 and 4,504.16

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Solution

The fourth proportional to 7,676.32, 11,492.32 and 4,504.16 is: 6,743.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,676.32 : 11,492.32 = 4,504.16 : x
  2. Step 2: Convert to fraction form
    7,676.32/11,492.32 = 4,504.16/x
  3. Step 3: Cross multiply
    7,676.32x = 11,492.32 × 4,504.16
  4. Step 4: Simplify right side
    7,676.32x = 51,763,248.05
  5. Step 5: Solve for x
    x = 51,763,248.05/7,676.32
  6. Step 6: Final answer
    x = 6,743.24

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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.