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Finding the Fourth Proportional to 17,065, 25,597.77 and 4,753

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Solution

The fourth proportional to 17,065, 25,597.77 and 4,753 is: 7,129.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,065 : 25,597.77 = 4,753 : x
  2. Step 2: Convert to fraction form
    17,065/25,597.77 = 4,753/x
  3. Step 3: Cross multiply
    17,065x = 25,597.77 × 4,753
  4. Step 4: Simplify right side
    17,065x = 121,666,200.81
  5. Step 5: Solve for x
    x = 121,666,200.81/17,065
  6. Step 6: Final answer
    x = 7,129.58

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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.