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Finding the Fourth Proportional to 6,334.02, 8,740.53 and 3,681

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Solution

The fourth proportional to 6,334.02, 8,740.53 and 3,681 is: 5,079.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,334.02 : 8,740.53 = 3,681 : x
  2. Step 2: Convert to fraction form
    6,334.02/8,740.53 = 3,681/x
  3. Step 3: Cross multiply
    6,334.02x = 8,740.53 × 3,681
  4. Step 4: Simplify right side
    6,334.02x = 32,173,890.93
  5. Step 5: Solve for x
    x = 32,173,890.93/6,334.02
  6. Step 6: Final answer
    x = 5,079.54

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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.