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Finding the Fourth Proportional to 9,986.90, 14,987.63 and 4,796.42

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Solution

The fourth proportional to 9,986.90, 14,987.63 and 4,796.42 is: 7,198.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,986.90 : 14,987.63 = 4,796.42 : x
  2. Step 2: Convert to fraction form
    9,986.90/14,987.63 = 4,796.42/x
  3. Step 3: Cross multiply
    9,986.90x = 14,987.63 × 4,796.42
  4. Step 4: Simplify right side
    9,986.90x = 71,886,905.34
  5. Step 5: Solve for x
    x = 71,886,905.34/9,986.90
  6. Step 6: Final answer
    x = 7,198.12

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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.