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Finding the Fourth Proportional to 15,283.42, 22,921.48 and 7,884.07

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Solution

The fourth proportional to 15,283.42, 22,921.48 and 7,884.07 is: 11,824.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,283.42 : 22,921.48 = 7,884.07 : x
  2. Step 2: Convert to fraction form
    15,283.42/22,921.48 = 7,884.07/x
  3. Step 3: Cross multiply
    15,283.42x = 22,921.48 × 7,884.07
  4. Step 4: Simplify right side
    15,283.42x = 180,714,505.37
  5. Step 5: Solve for x
    x = 180,714,505.37/15,283.42
  6. Step 6: Final answer
    x = 11,824.22

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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.