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Finding the Fourth Proportional to 6,588.56, 9,869.87 and 4,365.92

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Solution

The fourth proportional to 6,588.56, 9,869.87 and 4,365.92 is: 6,540.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,588.56 : 9,869.87 = 4,365.92 : x
  2. Step 2: Convert to fraction form
    6,588.56/9,869.87 = 4,365.92/x
  3. Step 3: Cross multiply
    6,588.56x = 9,869.87 × 4,365.92
  4. Step 4: Simplify right side
    6,588.56x = 43,091,024.40
  5. Step 5: Solve for x
    x = 43,091,024.40/6,588.56
  6. Step 6: Final answer
    x = 6,540.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.