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Finding the Fourth Proportional to 13,096, 18,068.64 and 7,788.16

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Solution

The fourth proportional to 13,096, 18,068.64 and 7,788.16 is: 10,745.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,096 : 18,068.64 = 7,788.16 : x
  2. Step 2: Convert to fraction form
    13,096/18,068.64 = 7,788.16/x
  3. Step 3: Cross multiply
    13,096x = 18,068.64 × 7,788.16
  4. Step 4: Simplify right side
    13,096x = 140,721,459.30
  5. Step 5: Solve for x
    x = 140,721,459.30/13,096
  6. Step 6: Final answer
    x = 10,745.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.