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Finding the Fourth Proportional to 6,321.74, 9,482.53 and 1,641.33

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Solution

The fourth proportional to 6,321.74, 9,482.53 and 1,641.33 is: 2,461.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,321.74 : 9,482.53 = 1,641.33 : x
  2. Step 2: Convert to fraction form
    6,321.74/9,482.53 = 1,641.33/x
  3. Step 3: Cross multiply
    6,321.74x = 9,482.53 × 1,641.33
  4. Step 4: Simplify right side
    6,321.74x = 15,563,956.86
  5. Step 5: Solve for x
    x = 15,563,956.86/6,321.74
  6. Step 6: Final answer
    x = 2,461.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.