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Finding the Fourth Proportional to 6,537, 9,787.55 and 4,564.59

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Solution

The fourth proportional to 6,537, 9,787.55 and 4,564.59 is: 6,834.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,537 : 9,787.55 = 4,564.59 : x
  2. Step 2: Convert to fraction form
    6,537/9,787.55 = 4,564.59/x
  3. Step 3: Cross multiply
    6,537x = 9,787.55 × 4,564.59
  4. Step 4: Simplify right side
    6,537x = 44,676,152.85
  5. Step 5: Solve for x
    x = 44,676,152.85/6,537
  6. Step 6: Final answer
    x = 6,834.35

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