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Finding the Fourth Proportional to 23,873.10, 35,798.85 and 9,077.10

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Solution

The fourth proportional to 23,873.10, 35,798.85 and 9,077.10 is: 13,611.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,873.10 : 35,798.85 = 9,077.10 : x
  2. Step 2: Convert to fraction form
    23,873.10/35,798.85 = 9,077.10/x
  3. Step 3: Cross multiply
    23,873.10x = 35,798.85 × 9,077.10
  4. Step 4: Simplify right side
    23,873.10x = 324,949,741.34
  5. Step 5: Solve for x
    x = 324,949,741.34/23,873.10
  6. Step 6: Final answer
    x = 13,611.54

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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.