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Finding the Fourth Proportional to 8,193.59, 11,307.32 and 4,467.59

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Solution

The fourth proportional to 8,193.59, 11,307.32 and 4,467.59 is: 6,165.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,193.59 : 11,307.32 = 4,467.59 : x
  2. Step 2: Convert to fraction form
    8,193.59/11,307.32 = 4,467.59/x
  3. Step 3: Cross multiply
    8,193.59x = 11,307.32 × 4,467.59
  4. Step 4: Simplify right side
    8,193.59x = 50,516,447.42
  5. Step 5: Solve for x
    x = 50,516,447.42/8,193.59
  6. Step 6: Final answer
    x = 6,165.36

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Half scale
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Double 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.