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Finding the Fourth Proportional to 11,474.56, 15,835.04 and 6,997.76

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Solution

The fourth proportional to 11,474.56, 15,835.04 and 6,997.76 is: 9,657.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,474.56 : 15,835.04 = 6,997.76 : x
  2. Step 2: Convert to fraction form
    11,474.56/15,835.04 = 6,997.76/x
  3. Step 3: Cross multiply
    11,474.56x = 15,835.04 × 6,997.76
  4. Step 4: Simplify right side
    11,474.56x = 110,809,809.51
  5. Step 5: Solve for x
    x = 110,809,809.51/11,474.56
  6. Step 6: Final answer
    x = 9,657.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.