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Finding the Fourth Proportional to 10,407.03, 14,361.47 and 5,691.30

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Solution

The fourth proportional to 10,407.03, 14,361.47 and 5,691.30 is: 7,853.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,407.03 : 14,361.47 = 5,691.30 : x
  2. Step 2: Convert to fraction form
    10,407.03/14,361.47 = 5,691.30/x
  3. Step 3: Cross multiply
    10,407.03x = 14,361.47 × 5,691.30
  4. Step 4: Simplify right side
    10,407.03x = 81,735,434.21
  5. Step 5: Solve for x
    x = 81,735,434.21/10,407.03
  6. Step 6: Final answer
    x = 7,853.87

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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.