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Finding the Fourth Proportional to 6,564.81, 9,828.95 and 5,618.93

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Solution

The fourth proportional to 6,564.81, 9,828.95 and 5,618.93 is: 8,412.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564.81 : 9,828.95 = 5,618.93 : x
  2. Step 2: Convert to fraction form
    6,564.81/9,828.95 = 5,618.93/x
  3. Step 3: Cross multiply
    6,564.81x = 9,828.95 × 5,618.93
  4. Step 4: Simplify right side
    6,564.81x = 55,228,182.02
  5. Step 5: Solve for x
    x = 55,228,182.02/6,564.81
  6. Step 6: Final answer
    x = 8,412.76

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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.