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Finding the Fourth Proportional to 6,886.84, 9,503.90 and 3,743.03

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Solution

The fourth proportional to 6,886.84, 9,503.90 and 3,743.03 is: 5,165.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,886.84 : 9,503.90 = 3,743.03 : x
  2. Step 2: Convert to fraction form
    6,886.84/9,503.90 = 3,743.03/x
  3. Step 3: Cross multiply
    6,886.84x = 9,503.90 × 3,743.03
  4. Step 4: Simplify right side
    6,886.84x = 35,573,364.10
  5. Step 5: Solve for x
    x = 35,573,364.10/6,886.84
  6. Step 6: Final answer
    x = 5,165.42

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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.