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Finding the Fourth Proportional to 23,563.66, 35,337.98 and 7,765.74

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Solution

The fourth proportional to 23,563.66, 35,337.98 and 7,765.74 is: 11,646.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,563.66 : 35,337.98 = 7,765.74 : x
  2. Step 2: Convert to fraction form
    23,563.66/35,337.98 = 7,765.74/x
  3. Step 3: Cross multiply
    23,563.66x = 35,337.98 × 7,765.74
  4. Step 4: Simplify right side
    23,563.66x = 274,425,584.22
  5. Step 5: Solve for x
    x = 274,425,584.22/23,563.66
  6. Step 6: Final answer
    x = 11,646.14

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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.