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Finding the Fourth Proportional to 9,857.98, 14,784.81 and 2,930.14

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Solution

The fourth proportional to 9,857.98, 14,784.81 and 2,930.14 is: 4,394.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,857.98 : 14,784.81 = 2,930.14 : x
  2. Step 2: Convert to fraction form
    9,857.98/14,784.81 = 2,930.14/x
  3. Step 3: Cross multiply
    9,857.98x = 14,784.81 × 2,930.14
  4. Step 4: Simplify right side
    9,857.98x = 43,321,563.17
  5. Step 5: Solve for x
    x = 43,321,563.17/9,857.98
  6. Step 6: Final answer
    x = 4,394.57

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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.