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Finding the Fourth Proportional to 6,983.51, 9,624.87 and 6,168.84

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Solution

The fourth proportional to 6,983.51, 9,624.87 and 6,168.84 is: 8,502.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,983.51 : 9,624.87 = 6,168.84 : x
  2. Step 2: Convert to fraction form
    6,983.51/9,624.87 = 6,168.84/x
  3. Step 3: Cross multiply
    6,983.51x = 9,624.87 × 6,168.84
  4. Step 4: Simplify right side
    6,983.51x = 59,374,283.05
  5. Step 5: Solve for x
    x = 59,374,283.05/6,983.51
  6. Step 6: Final answer
    x = 8,502.07

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1.5x scale

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.