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Finding the Fourth Proportional to 9,446.70, 14,240.81 and 8,812.38

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Solution

The fourth proportional to 9,446.70, 14,240.81 and 8,812.38 is: 13,284.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,446.70 : 14,240.81 = 8,812.38 : x
  2. Step 2: Convert to fraction form
    9,446.70/14,240.81 = 8,812.38/x
  3. Step 3: Cross multiply
    9,446.70x = 14,240.81 × 8,812.38
  4. Step 4: Simplify right side
    9,446.70x = 125,495,385.17
  5. Step 5: Solve for x
    x = 125,495,385.17/9,446.70
  6. Step 6: Final answer
    x = 13,284.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.