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Finding the Fourth Proportional to 6,740.52, 9,302.72 and 3,946

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Solution

The fourth proportional to 6,740.52, 9,302.72 and 3,946 is: 5,445.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,740.52 : 9,302.72 = 3,946 : x
  2. Step 2: Convert to fraction form
    6,740.52/9,302.72 = 3,946/x
  3. Step 3: Cross multiply
    6,740.52x = 9,302.72 × 3,946
  4. Step 4: Simplify right side
    6,740.52x = 36,708,533.12
  5. Step 5: Solve for x
    x = 36,708,533.12/6,740.52
  6. Step 6: Final answer
    x = 5,445.95

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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.