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Finding the Fourth Proportional to 6,886.14, 9,502.59 and 3,742.26

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Solution

The fourth proportional to 6,886.14, 9,502.59 and 3,742.26 is: 5,164.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,886.14 : 9,502.59 = 3,742.26 : x
  2. Step 2: Convert to fraction form
    6,886.14/9,502.59 = 3,742.26/x
  3. Step 3: Cross multiply
    6,886.14x = 9,502.59 × 3,742.26
  4. Step 4: Simplify right side
    6,886.14x = 35,561,162.45
  5. Step 5: Solve for x
    x = 35,561,162.45/6,886.14
  6. Step 6: Final answer
    x = 5,164.16

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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.