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Finding the Fourth Proportional to 6,873.84, 9,484.02 and 4,516.74

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Solution

The fourth proportional to 6,873.84, 9,484.02 and 4,516.74 is: 6,231.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,873.84 : 9,484.02 = 4,516.74 : x
  2. Step 2: Convert to fraction form
    6,873.84/9,484.02 = 4,516.74/x
  3. Step 3: Cross multiply
    6,873.84x = 9,484.02 × 4,516.74
  4. Step 4: Simplify right side
    6,873.84x = 42,836,852.49
  5. Step 5: Solve for x
    x = 42,836,852.49/6,873.84
  6. Step 6: Final answer
    x = 6,231.87

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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.