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Finding the Fourth Proportional to 23,841.46, 35,762.46 and 7,201.63

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Solution

The fourth proportional to 23,841.46, 35,762.46 and 7,201.63 is: 10,802.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,841.46 : 35,762.46 = 7,201.63 : x
  2. Step 2: Convert to fraction form
    23,841.46/35,762.46 = 7,201.63/x
  3. Step 3: Cross multiply
    23,841.46x = 35,762.46 × 7,201.63
  4. Step 4: Simplify right side
    23,841.46x = 257,548,004.81
  5. Step 5: Solve for x
    x = 257,548,004.81/23,841.46
  6. Step 6: Final answer
    x = 10,802.53

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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.