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Finding the Fourth Proportional to 8,152, 11,250.33 and 4,615.23

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Solution

The fourth proportional to 8,152, 11,250.33 and 4,615.23 is: 6,369.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,152 : 11,250.33 = 4,615.23 : x
  2. Step 2: Convert to fraction form
    8,152/11,250.33 = 4,615.23/x
  3. Step 3: Cross multiply
    8,152x = 11,250.33 × 4,615.23
  4. Step 4: Simplify right side
    8,152x = 51,922,860.53
  5. Step 5: Solve for x
    x = 51,922,860.53/8,152
  6. Step 6: Final answer
    x = 6,369.34

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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.