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Finding the Fourth Proportional to 4,496.77, 6,710.81 and 4,004.69

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Solution

The fourth proportional to 4,496.77, 6,710.81 and 4,004.69 is: 5,976.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,496.77 : 6,710.81 = 4,004.69 : x
  2. Step 2: Convert to fraction form
    4,496.77/6,710.81 = 4,004.69/x
  3. Step 3: Cross multiply
    4,496.77x = 6,710.81 × 4,004.69
  4. Step 4: Simplify right side
    4,496.77x = 26,874,740.49
  5. Step 5: Solve for x
    x = 26,874,740.49/4,496.77
  6. Step 6: Final answer
    x = 5,976.46

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1.5x scale

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.