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Finding the Fourth Proportional to 15,615.98, 23,433.11 and 5,762.12

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Solution

The fourth proportional to 15,615.98, 23,433.11 and 5,762.12 is: 8,646.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,615.98 : 23,433.11 = 5,762.12 : x
  2. Step 2: Convert to fraction form
    15,615.98/23,433.11 = 5,762.12/x
  3. Step 3: Cross multiply
    15,615.98x = 23,433.11 × 5,762.12
  4. Step 4: Simplify right side
    15,615.98x = 135,024,289.03
  5. Step 5: Solve for x
    x = 135,024,289.03/15,615.98
  6. Step 6: Final answer
    x = 8,646.55

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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.