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Finding the Fourth Proportional to 6,505.40, 8,971.06 and 5,965.76

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Solution

The fourth proportional to 6,505.40, 8,971.06 and 5,965.76 is: 8,226.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,505.40 : 8,971.06 = 5,965.76 : x
  2. Step 2: Convert to fraction form
    6,505.40/8,971.06 = 5,965.76/x
  3. Step 3: Cross multiply
    6,505.40x = 8,971.06 × 5,965.76
  4. Step 4: Simplify right side
    6,505.40x = 53,519,190.91
  5. Step 5: Solve for x
    x = 53,519,190.91/6,505.40
  6. Step 6: Final answer
    x = 8,226.89

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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.