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Finding the Fourth Proportional to 11,597.70, 16,003.80 and 6,562.32

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Solution

The fourth proportional to 11,597.70, 16,003.80 and 6,562.32 is: 9,055.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,597.70 : 16,003.80 = 6,562.32 : x
  2. Step 2: Convert to fraction form
    11,597.70/16,003.80 = 6,562.32/x
  3. Step 3: Cross multiply
    11,597.70x = 16,003.80 × 6,562.32
  4. Step 4: Simplify right side
    11,597.70x = 105,022,056.82
  5. Step 5: Solve for x
    x = 105,022,056.82/11,597.70
  6. Step 6: Final answer
    x = 9,055.42

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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.