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Finding the Fourth Proportional to 10,662.30, 14,716.02 and 6,416.82

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Solution

The fourth proportional to 10,662.30, 14,716.02 and 6,416.82 is: 8,856.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,662.30 : 14,716.02 = 6,416.82 : x
  2. Step 2: Convert to fraction form
    10,662.30/14,716.02 = 6,416.82/x
  3. Step 3: Cross multiply
    10,662.30x = 14,716.02 × 6,416.82
  4. Step 4: Simplify right side
    10,662.30x = 94,430,051.46
  5. Step 5: Solve for x
    x = 94,430,051.46/10,662.30
  6. Step 6: Final answer
    x = 8,856.44

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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.