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Finding the Fourth Proportional to 5,142.34, 7,713.51 and 1,444.90

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Solution

The fourth proportional to 5,142.34, 7,713.51 and 1,444.90 is: 2,167.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,142.34 : 7,713.51 = 1,444.90 : x
  2. Step 2: Convert to fraction form
    5,142.34/7,713.51 = 1,444.90/x
  3. Step 3: Cross multiply
    5,142.34x = 7,713.51 × 1,444.90
  4. Step 4: Simplify right side
    5,142.34x = 11,145,250.60
  5. Step 5: Solve for x
    x = 11,145,250.60/5,142.34
  6. Step 6: Final answer
    x = 2,167.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.