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Finding the Fourth Proportional to 10,232.63, 15,348.95 and 4,080.95

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Solution

The fourth proportional to 10,232.63, 15,348.95 and 4,080.95 is: 6,121.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,232.63 : 15,348.95 = 4,080.95 : x
  2. Step 2: Convert to fraction form
    10,232.63/15,348.95 = 4,080.95/x
  3. Step 3: Cross multiply
    10,232.63x = 15,348.95 × 4,080.95
  4. Step 4: Simplify right side
    10,232.63x = 62,638,200.35
  5. Step 5: Solve for x
    x = 62,638,200.35/10,232.63
  6. Step 6: Final answer
    x = 6,121.42

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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.