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Finding the Fourth Proportional to 4,698.87, 7,014 and 4,356.24

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Solution

The fourth proportional to 4,698.87, 7,014 and 4,356.24 is: 6,502.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,698.87 : 7,014 = 4,356.24 : x
  2. Step 2: Convert to fraction form
    4,698.87/7,014 = 4,356.24/x
  3. Step 3: Cross multiply
    4,698.87x = 7,014 × 4,356.24
  4. Step 4: Simplify right side
    4,698.87x = 30,554,667.36
  5. Step 5: Solve for x
    x = 30,554,667.36/4,698.87
  6. Step 6: Final answer
    x = 6,502.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.