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Finding the Fourth Proportional to 9,877.44, 14,813.97 and 2,855.92

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Solution

The fourth proportional to 9,877.44, 14,813.97 and 2,855.92 is: 4,283.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,877.44 : 14,813.97 = 2,855.92 : x
  2. Step 2: Convert to fraction form
    9,877.44/14,813.97 = 2,855.92/x
  3. Step 3: Cross multiply
    9,877.44x = 14,813.97 × 2,855.92
  4. Step 4: Simplify right side
    9,877.44x = 42,307,513.20
  5. Step 5: Solve for x
    x = 42,307,513.20/9,877.44
  6. Step 6: Final answer
    x = 4,283.25

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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.