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Finding the Fourth Proportional to 23,765.06, 35,655.48 and 7,971.64

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Solution

The fourth proportional to 23,765.06, 35,655.48 and 7,971.64 is: 11,960.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,765.06 : 35,655.48 = 7,971.64 : x
  2. Step 2: Convert to fraction form
    23,765.06/35,655.48 = 7,971.64/x
  3. Step 3: Cross multiply
    23,765.06x = 35,655.48 × 7,971.64
  4. Step 4: Simplify right side
    23,765.06x = 284,232,650.59
  5. Step 5: Solve for x
    x = 284,232,650.59/23,765.06
  6. Step 6: Final answer
    x = 11,960.11

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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.