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Finding the Fourth Proportional to 6,369.20, 9,554.76 and 1,987

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Solution

The fourth proportional to 6,369.20, 9,554.76 and 1,987 is: 2,980.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,369.20 : 9,554.76 = 1,987 : x
  2. Step 2: Convert to fraction form
    6,369.20/9,554.76 = 1,987/x
  3. Step 3: Cross multiply
    6,369.20x = 9,554.76 × 1,987
  4. Step 4: Simplify right side
    6,369.20x = 18,985,308.12
  5. Step 5: Solve for x
    x = 18,985,308.12/6,369.20
  6. Step 6: Final answer
    x = 2,980.80

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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.