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Finding the Fourth Proportional to 8,298.74, 11,446.57 and 4,938.96

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Solution

The fourth proportional to 8,298.74, 11,446.57 and 4,938.96 is: 6,812.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,298.74 : 11,446.57 = 4,938.96 : x
  2. Step 2: Convert to fraction form
    8,298.74/11,446.57 = 4,938.96/x
  3. Step 3: Cross multiply
    8,298.74x = 11,446.57 × 4,938.96
  4. Step 4: Simplify right side
    8,298.74x = 56,534,200.47
  5. Step 5: Solve for x
    x = 56,534,200.47/8,298.74
  6. Step 6: Final answer
    x = 6,812.38

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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.