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Finding the Fourth Proportional to 7,113.26, 9,814.92 and 4,754

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Solution

The fourth proportional to 7,113.26, 9,814.92 and 4,754 is: 6,559.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,113.26 : 9,814.92 = 4,754 : x
  2. Step 2: Convert to fraction form
    7,113.26/9,814.92 = 4,754/x
  3. Step 3: Cross multiply
    7,113.26x = 9,814.92 × 4,754
  4. Step 4: Simplify right side
    7,113.26x = 46,660,129.68
  5. Step 5: Solve for x
    x = 46,660,129.68/7,113.26
  6. Step 6: Final answer
    x = 6,559.60

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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.