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Finding the Fourth Proportional to 15,157.42, 22,717.68 and 6,835.24

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Solution

The fourth proportional to 15,157.42, 22,717.68 and 6,835.24 is: 10,244.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,157.42 : 22,717.68 = 6,835.24 : x
  2. Step 2: Convert to fraction form
    15,157.42/22,717.68 = 6,835.24/x
  3. Step 3: Cross multiply
    15,157.42x = 22,717.68 × 6,835.24
  4. Step 4: Simplify right side
    15,157.42x = 155,280,795.04
  5. Step 5: Solve for x
    x = 155,280,795.04/15,157.42
  6. Step 6: Final answer
    x = 10,244.54

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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.