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Finding the Fourth Proportional to 7,037.66, 9,707.38 and 4,515.77

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Solution

The fourth proportional to 7,037.66, 9,707.38 and 4,515.77 is: 6,228.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,037.66 : 9,707.38 = 4,515.77 : x
  2. Step 2: Convert to fraction form
    7,037.66/9,707.38 = 4,515.77/x
  3. Step 3: Cross multiply
    7,037.66x = 9,707.38 × 4,515.77
  4. Step 4: Simplify right side
    7,037.66x = 43,836,308.36
  5. Step 5: Solve for x
    x = 43,836,308.36/7,037.66
  6. Step 6: Final answer
    x = 6,228.82

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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.