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Finding the Fourth Proportional to 8,128, 11,215.74 and 4,590.46

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Solution

The fourth proportional to 8,128, 11,215.74 and 4,590.46 is: 6,334.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,128 : 11,215.74 = 4,590.46 : x
  2. Step 2: Convert to fraction form
    8,128/11,215.74 = 4,590.46/x
  3. Step 3: Cross multiply
    8,128x = 11,215.74 × 4,590.46
  4. Step 4: Simplify right side
    8,128x = 51,485,405.84
  5. Step 5: Solve for x
    x = 51,485,405.84/8,128
  6. Step 6: Final answer
    x = 6,334.33

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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.