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Finding the Fourth Proportional to 23,541, 35,283.12 and 10,378.48

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Solution

The fourth proportional to 23,541, 35,283.12 and 10,378.48 is: 15,555.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,541 : 35,283.12 = 10,378.48 : x
  2. Step 2: Convert to fraction form
    23,541/35,283.12 = 10,378.48/x
  3. Step 3: Cross multiply
    23,541x = 35,283.12 × 10,378.48
  4. Step 4: Simplify right side
    23,541x = 366,185,155.26
  5. Step 5: Solve for x
    x = 366,185,155.26/23,541
  6. Step 6: Final answer
    x = 15,555.21

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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.