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Finding the Fourth Proportional to 9,792.90, 14,694.75 and 4,598.64

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Solution

The fourth proportional to 9,792.90, 14,694.75 and 4,598.64 is: 6,900.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,792.90 : 14,694.75 = 4,598.64 : x
  2. Step 2: Convert to fraction form
    9,792.90/14,694.75 = 4,598.64/x
  3. Step 3: Cross multiply
    9,792.90x = 14,694.75 × 4,598.64
  4. Step 4: Simplify right side
    9,792.90x = 67,575,865.14
  5. Step 5: Solve for x
    x = 67,575,865.14/9,792.90
  6. Step 6: Final answer
    x = 6,900.50

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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.