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Finding the Fourth Proportional to 6,886.14, 9,502.10 and 3,901.34

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Solution

The fourth proportional to 6,886.14, 9,502.10 and 3,901.34 is: 5,383.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,886.14 : 9,502.10 = 3,901.34 : x
  2. Step 2: Convert to fraction form
    6,886.14/9,502.10 = 3,901.34/x
  3. Step 3: Cross multiply
    6,886.14x = 9,502.10 × 3,901.34
  4. Step 4: Simplify right side
    6,886.14x = 37,070,875.30
  5. Step 5: Solve for x
    x = 37,070,875.30/6,886.14
  6. Step 6: Final answer
    x = 5,383.40

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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.