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Finding the Fourth Proportional to 8,451.60, 11,660.64 and 4,914.16

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Solution

The fourth proportional to 8,451.60, 11,660.64 and 4,914.16 is: 6,780.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,451.60 : 11,660.64 = 4,914.16 : x
  2. Step 2: Convert to fraction form
    8,451.60/11,660.64 = 4,914.16/x
  3. Step 3: Cross multiply
    8,451.60x = 11,660.64 × 4,914.16
  4. Step 4: Simplify right side
    8,451.60x = 57,302,250.66
  5. Step 5: Solve for x
    x = 57,302,250.66/8,451.60
  6. Step 6: Final answer
    x = 6,780.05

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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.