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Finding the Fourth Proportional to 23,423, 35,148.32 and 8,642.24

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Solution

The fourth proportional to 23,423, 35,148.32 and 8,642.24 is: 12,968.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,423 : 35,148.32 = 8,642.24 : x
  2. Step 2: Convert to fraction form
    23,423/35,148.32 = 8,642.24/x
  3. Step 3: Cross multiply
    23,423x = 35,148.32 × 8,642.24
  4. Step 4: Simplify right side
    23,423x = 303,760,217.04
  5. Step 5: Solve for x
    x = 303,760,217.04/23,423
  6. Step 6: Final answer
    x = 12,968.46

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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.