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Finding the Fourth Proportional to 10,662.60, 14,712.66 and 5,946.78

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Solution

The fourth proportional to 10,662.60, 14,712.66 and 5,946.78 is: 8,205.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,662.60 : 14,712.66 = 5,946.78 : x
  2. Step 2: Convert to fraction form
    10,662.60/14,712.66 = 5,946.78/x
  3. Step 3: Cross multiply
    10,662.60x = 14,712.66 × 5,946.78
  4. Step 4: Simplify right side
    10,662.60x = 87,492,952.23
  5. Step 5: Solve for x
    x = 87,492,952.23/10,662.60
  6. Step 6: Final answer
    x = 8,205.59

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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.