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Finding the Fourth Proportional to 17,807, 26,710.86 and 4,660.52

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Solution

The fourth proportional to 17,807, 26,710.86 and 4,660.52 is: 6,990.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,807 : 26,710.86 = 4,660.52 : x
  2. Step 2: Convert to fraction form
    17,807/26,710.86 = 4,660.52/x
  3. Step 3: Cross multiply
    17,807x = 26,710.86 × 4,660.52
  4. Step 4: Simplify right side
    17,807x = 124,486,497.25
  5. Step 5: Solve for x
    x = 124,486,497.25/17,807
  6. Step 6: Final answer
    x = 6,990.87

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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.