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Finding the Fourth Proportional to 6,564.61, 9,835.56 and 4,423.48

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Solution

The fourth proportional to 6,564.61, 9,835.56 and 4,423.48 is: 6,627.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564.61 : 9,835.56 = 4,423.48 : x
  2. Step 2: Convert to fraction form
    6,564.61/9,835.56 = 4,423.48/x
  3. Step 3: Cross multiply
    6,564.61x = 9,835.56 × 4,423.48
  4. Step 4: Simplify right side
    6,564.61x = 43,507,402.95
  5. Step 5: Solve for x
    x = 43,507,402.95/6,564.61
  6. Step 6: Final answer
    x = 6,627.57

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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.