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Finding the Fourth Proportional to 35,872.28, 53,808.24 and 9,218.24

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Solution

The fourth proportional to 35,872.28, 53,808.24 and 9,218.24 is: 13,827.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,872.28 : 53,808.24 = 9,218.24 : x
  2. Step 2: Convert to fraction form
    35,872.28/53,808.24 = 9,218.24/x
  3. Step 3: Cross multiply
    35,872.28x = 53,808.24 × 9,218.24
  4. Step 4: Simplify right side
    35,872.28x = 496,017,270.30
  5. Step 5: Solve for x
    x = 496,017,270.30/35,872.28
  6. Step 6: Final answer
    x = 13,827.31

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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.