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Finding the Fourth Proportional to 11,597.60, 17,390.64 and 4,201.76

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Solution

The fourth proportional to 11,597.60, 17,390.64 and 4,201.76 is: 6,300.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,597.60 : 17,390.64 = 4,201.76 : x
  2. Step 2: Convert to fraction form
    11,597.60/17,390.64 = 4,201.76/x
  3. Step 3: Cross multiply
    11,597.60x = 17,390.64 × 4,201.76
  4. Step 4: Simplify right side
    11,597.60x = 73,071,295.53
  5. Step 5: Solve for x
    x = 73,071,295.53/11,597.60
  6. Step 6: Final answer
    x = 6,300.55

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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.