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Finding the Fourth Proportional to 10,811.13, 14,917.06 and 6,564.42

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Solution

The fourth proportional to 10,811.13, 14,917.06 and 6,564.42 is: 9,057.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,811.13 : 14,917.06 = 6,564.42 : x
  2. Step 2: Convert to fraction form
    10,811.13/14,917.06 = 6,564.42/x
  3. Step 3: Cross multiply
    10,811.13x = 14,917.06 × 6,564.42
  4. Step 4: Simplify right side
    10,811.13x = 97,921,847.01
  5. Step 5: Solve for x
    x = 97,921,847.01/10,811.13
  6. Step 6: Final answer
    x = 9,057.50

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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.