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Finding the Fourth Proportional to 23,642.72, 35,464 and 7,002.88

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Solution

The fourth proportional to 23,642.72, 35,464 and 7,002.88 is: 10,504.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,642.72 : 35,464 = 7,002.88 : x
  2. Step 2: Convert to fraction form
    23,642.72/35,464 = 7,002.88/x
  3. Step 3: Cross multiply
    23,642.72x = 35,464 × 7,002.88
  4. Step 4: Simplify right side
    23,642.72x = 248,350,136.32
  5. Step 5: Solve for x
    x = 248,350,136.32/23,642.72
  6. Step 6: Final answer
    x = 10,504.30

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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.