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Finding the Fourth Proportional to 24,007.10, 35,999.85 and 9,211.10

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Solution

The fourth proportional to 24,007.10, 35,999.85 and 9,211.10 is: 13,812.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,007.10 : 35,999.85 = 9,211.10 : x
  2. Step 2: Convert to fraction form
    24,007.10/35,999.85 = 9,211.10/x
  3. Step 3: Cross multiply
    24,007.10x = 35,999.85 × 9,211.10
  4. Step 4: Simplify right side
    24,007.10x = 331,598,218.34
  5. Step 5: Solve for x
    x = 331,598,218.34/24,007.10
  6. Step 6: Final answer
    x = 13,812.51

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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.