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Finding the Fourth Proportional to 9,792.50, 14,680.04 and 6,283.52

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Solution

The fourth proportional to 9,792.50, 14,680.04 and 6,283.52 is: 9,419.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,792.50 : 14,680.04 = 6,283.52 : x
  2. Step 2: Convert to fraction form
    9,792.50/14,680.04 = 6,283.52/x
  3. Step 3: Cross multiply
    9,792.50x = 14,680.04 × 6,283.52
  4. Step 4: Simplify right side
    9,792.50x = 92,242,324.94
  5. Step 5: Solve for x
    x = 92,242,324.94/9,792.50
  6. Step 6: Final answer
    x = 9,419.69

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1.5x scale

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.