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Finding the Fourth Proportional to 12,658.53, 17,469.74 and 7,282.62

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Solution

The fourth proportional to 12,658.53, 17,469.74 and 7,282.62 is: 10,050.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,658.53 : 17,469.74 = 7,282.62 : x
  2. Step 2: Convert to fraction form
    12,658.53/17,469.74 = 7,282.62/x
  3. Step 3: Cross multiply
    12,658.53x = 17,469.74 × 7,282.62
  4. Step 4: Simplify right side
    12,658.53x = 127,225,477.92
  5. Step 5: Solve for x
    x = 127,225,477.92/12,658.53
  6. Step 6: Final answer
    x = 10,050.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.