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Finding the Fourth Proportional to 6,886.02, 9,502.44 and 3,742.14

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Solution

The fourth proportional to 6,886.02, 9,502.44 and 3,742.14 is: 5,164.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,886.02 : 9,502.44 = 3,742.14 : x
  2. Step 2: Convert to fraction form
    6,886.02/9,502.44 = 3,742.14/x
  3. Step 3: Cross multiply
    6,886.02x = 9,502.44 × 3,742.14
  4. Step 4: Simplify right side
    6,886.02x = 35,559,460.82
  5. Step 5: Solve for x
    x = 35,559,460.82/6,886.02
  6. Step 6: Final answer
    x = 5,164.01

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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.