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Finding the Fourth Proportional to 10,173.76, 15,262 and 9,558.66

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Solution

The fourth proportional to 10,173.76, 15,262 and 9,558.66 is: 14,339.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,173.76 : 15,262 = 9,558.66 : x
  2. Step 2: Convert to fraction form
    10,173.76/15,262 = 9,558.66/x
  3. Step 3: Cross multiply
    10,173.76x = 15,262 × 9,558.66
  4. Step 4: Simplify right side
    10,173.76x = 145,884,268.92
  5. Step 5: Solve for x
    x = 145,884,268.92/10,173.76
  6. Step 6: Final answer
    x = 14,339.27

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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.