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Finding the Fourth Proportional to 4,757.31, 7,131.06 and 1,985.60

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Solution

The fourth proportional to 4,757.31, 7,131.06 and 1,985.60 is: 2,976.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,757.31 : 7,131.06 = 1,985.60 : x
  2. Step 2: Convert to fraction form
    4,757.31/7,131.06 = 1,985.60/x
  3. Step 3: Cross multiply
    4,757.31x = 7,131.06 × 1,985.60
  4. Step 4: Simplify right side
    4,757.31x = 14,159,397.08
  5. Step 5: Solve for x
    x = 14,159,397.08/4,757.31
  6. Step 6: Final answer
    x = 2,976.35

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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.