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Finding the Fourth Proportional to 9,316.75, 13,971.74 and 5,103.14

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Solution

The fourth proportional to 9,316.75, 13,971.74 and 5,103.14 is: 7,652.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,316.75 : 13,971.74 = 5,103.14 : x
  2. Step 2: Convert to fraction form
    9,316.75/13,971.74 = 5,103.14/x
  3. Step 3: Cross multiply
    9,316.75x = 13,971.74 × 5,103.14
  4. Step 4: Simplify right side
    9,316.75x = 71,299,675.40
  5. Step 5: Solve for x
    x = 71,299,675.40/9,316.75
  6. Step 6: Final answer
    x = 7,652.85

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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.