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Finding the Fourth Proportional to 11,595.50, 15,999.10 and 7,825.67

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Solution

The fourth proportional to 11,595.50, 15,999.10 and 7,825.67 is: 10,797.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,595.50 : 15,999.10 = 7,825.67 : x
  2. Step 2: Convert to fraction form
    11,595.50/15,999.10 = 7,825.67/x
  3. Step 3: Cross multiply
    11,595.50x = 15,999.10 × 7,825.67
  4. Step 4: Simplify right side
    11,595.50x = 125,203,577.34
  5. Step 5: Solve for x
    x = 125,203,577.34/11,595.50
  6. Step 6: Final answer
    x = 10,797.60

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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.