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Finding the Fourth Proportional to 6,551.89, 9,812.57 and 4,792.50

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Solution

The fourth proportional to 6,551.89, 9,812.57 and 4,792.50 is: 7,177.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,551.89 : 9,812.57 = 4,792.50 : x
  2. Step 2: Convert to fraction form
    6,551.89/9,812.57 = 4,792.50/x
  3. Step 3: Cross multiply
    6,551.89x = 9,812.57 × 4,792.50
  4. Step 4: Simplify right side
    6,551.89x = 47,026,717.76
  5. Step 5: Solve for x
    x = 47,026,717.76/6,551.89
  6. Step 6: Final answer
    x = 7,177.58

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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.