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Finding the Fourth Proportional to 9,877.04, 14,817.48 and 2,951.60

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Solution

The fourth proportional to 9,877.04, 14,817.48 and 2,951.60 is: 4,427.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,877.04 : 14,817.48 = 2,951.60 : x
  2. Step 2: Convert to fraction form
    9,877.04/14,817.48 = 2,951.60/x
  3. Step 3: Cross multiply
    9,877.04x = 14,817.48 × 2,951.60
  4. Step 4: Simplify right side
    9,877.04x = 43,735,273.97
  5. Step 5: Solve for x
    x = 43,735,273.97/9,877.04
  6. Step 6: Final answer
    x = 4,427.97

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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.