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Finding the Fourth Proportional to 9,875.54, 14,796.97 and 5,971.88

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Solution

The fourth proportional to 9,875.54, 14,796.97 and 5,971.88 is: 8,947.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,875.54 : 14,796.97 = 5,971.88 : x
  2. Step 2: Convert to fraction form
    9,875.54/14,796.97 = 5,971.88/x
  3. Step 3: Cross multiply
    9,875.54x = 14,796.97 × 5,971.88
  4. Step 4: Simplify right side
    9,875.54x = 88,365,729.20
  5. Step 5: Solve for x
    x = 88,365,729.20/9,875.54
  6. Step 6: Final answer
    x = 8,947.94

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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.