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Finding the Fourth Proportional to 8,412.03, 11,600.10 and 5,262.75

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Solution

The fourth proportional to 8,412.03, 11,600.10 and 5,262.75 is: 7,257.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,412.03 : 11,600.10 = 5,262.75 : x
  2. Step 2: Convert to fraction form
    8,412.03/11,600.10 = 5,262.75/x
  3. Step 3: Cross multiply
    8,412.03x = 11,600.10 × 5,262.75
  4. Step 4: Simplify right side
    8,412.03x = 61,048,426.28
  5. Step 5: Solve for x
    x = 61,048,426.28/8,412.03
  6. Step 6: Final answer
    x = 7,257.28

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Half scale
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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.