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Finding the Fourth Proportional to 6,973.84, 10,463.16 and 3,077.68

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Solution

The fourth proportional to 6,973.84, 10,463.16 and 3,077.68 is: 4,617.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,973.84 : 10,463.16 = 3,077.68 : x
  2. Step 2: Convert to fraction form
    6,973.84/10,463.16 = 3,077.68/x
  3. Step 3: Cross multiply
    6,973.84x = 10,463.16 × 3,077.68
  4. Step 4: Simplify right side
    6,973.84x = 32,202,258.27
  5. Step 5: Solve for x
    x = 32,202,258.27/6,973.84
  6. Step 6: Final answer
    x = 4,617.58

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1.5x scale

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.