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Finding the Fourth Proportional to 10,662.10, 14,711.16 and 6,411.70

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Solution

The fourth proportional to 10,662.10, 14,711.16 and 6,411.70 is: 8,846.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,662.10 : 14,711.16 = 6,411.70 : x
  2. Step 2: Convert to fraction form
    10,662.10/14,711.16 = 6,411.70/x
  3. Step 3: Cross multiply
    10,662.10x = 14,711.16 × 6,411.70
  4. Step 4: Simplify right side
    10,662.10x = 94,323,544.57
  5. Step 5: Solve for x
    x = 94,323,544.57/10,662.10
  6. Step 6: Final answer
    x = 8,846.62

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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.