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Finding the Fourth Proportional to 6,533.55, 9,812.93 and 5,598.61

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Solution

The fourth proportional to 6,533.55, 9,812.93 and 5,598.61 is: 8,408.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,533.55 : 9,812.93 = 5,598.61 : x
  2. Step 2: Convert to fraction form
    6,533.55/9,812.93 = 5,598.61/x
  3. Step 3: Cross multiply
    6,533.55x = 9,812.93 × 5,598.61
  4. Step 4: Simplify right side
    6,533.55x = 54,938,715.50
  5. Step 5: Solve for x
    x = 54,938,715.50/6,533.55
  6. Step 6: Final answer
    x = 8,408.71

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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.