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Finding the Fourth Proportional to 9,101.61, 13,652.51 and 2,861.48

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Solution

The fourth proportional to 9,101.61, 13,652.51 and 2,861.48 is: 4,292.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,101.61 : 13,652.51 = 2,861.48 : x
  2. Step 2: Convert to fraction form
    9,101.61/13,652.51 = 2,861.48/x
  3. Step 3: Cross multiply
    9,101.61x = 13,652.51 × 2,861.48
  4. Step 4: Simplify right side
    9,101.61x = 39,066,404.14
  5. Step 5: Solve for x
    x = 39,066,404.14/9,101.61
  6. Step 6: Final answer
    x = 4,292.25

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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.