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Finding the Fourth Proportional to 10,582.84, 14,604.84 and 5,867.14

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Solution

The fourth proportional to 10,582.84, 14,604.84 and 5,867.14 is: 8,096.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,582.84 : 14,604.84 = 5,867.14 : x
  2. Step 2: Convert to fraction form
    10,582.84/14,604.84 = 5,867.14/x
  3. Step 3: Cross multiply
    10,582.84x = 14,604.84 × 5,867.14
  4. Step 4: Simplify right side
    10,582.84x = 85,688,640.96
  5. Step 5: Solve for x
    x = 85,688,640.96/10,582.84
  6. Step 6: Final answer
    x = 8,096.94

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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.