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Finding the Fourth Proportional to 8,002.68, 11,043.48 and 4,645.30

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Solution

The fourth proportional to 8,002.68, 11,043.48 and 4,645.30 is: 6,410.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002.68 : 11,043.48 = 4,645.30 : x
  2. Step 2: Convert to fraction form
    8,002.68/11,043.48 = 4,645.30/x
  3. Step 3: Cross multiply
    8,002.68x = 11,043.48 × 4,645.30
  4. Step 4: Simplify right side
    8,002.68x = 51,300,277.64
  5. Step 5: Solve for x
    x = 51,300,277.64/8,002.68
  6. Step 6: Final answer
    x = 6,410.39

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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.