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Finding the Fourth Proportional to 15,097.48, 22,621.78 and 9,236.32

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Solution

The fourth proportional to 15,097.48, 22,621.78 and 9,236.32 is: 13,839.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,097.48 : 22,621.78 = 9,236.32 : x
  2. Step 2: Convert to fraction form
    15,097.48/22,621.78 = 9,236.32/x
  3. Step 3: Cross multiply
    15,097.48x = 22,621.78 × 9,236.32
  4. Step 4: Simplify right side
    15,097.48x = 208,941,999.05
  5. Step 5: Solve for x
    x = 208,941,999.05/15,097.48
  6. Step 6: Final answer
    x = 13,839.53

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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.