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Finding the Fourth Proportional to 6,427.80, 9,643.05 and 1,985.10

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Solution

The fourth proportional to 6,427.80, 9,643.05 and 1,985.10 is: 2,978.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,427.80 : 9,643.05 = 1,985.10 : x
  2. Step 2: Convert to fraction form
    6,427.80/9,643.05 = 1,985.10/x
  3. Step 3: Cross multiply
    6,427.80x = 9,643.05 × 1,985.10
  4. Step 4: Simplify right side
    6,427.80x = 19,142,418.56
  5. Step 5: Solve for x
    x = 19,142,418.56/6,427.80
  6. Step 6: Final answer
    x = 2,978.07

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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.