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Finding the Fourth Proportional to 8,321.50, 11,483.67 and 4,595.74

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Solution

The fourth proportional to 8,321.50, 11,483.67 and 4,595.74 is: 6,342.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,321.50 : 11,483.67 = 4,595.74 : x
  2. Step 2: Convert to fraction form
    8,321.50/11,483.67 = 4,595.74/x
  3. Step 3: Cross multiply
    8,321.50x = 11,483.67 × 4,595.74
  4. Step 4: Simplify right side
    8,321.50x = 52,775,961.57
  5. Step 5: Solve for x
    x = 52,775,961.57/8,321.50
  6. Step 6: Final answer
    x = 6,342.12

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Double scale
Find fourth proportional to 8,322.50, 11,485.05 and 4,596.74
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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.