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Finding the Fourth Proportional to 9,792.29, 14,696.64 and 5,117.58

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Solution

The fourth proportional to 9,792.29, 14,696.64 and 5,117.58 is: 7,680.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,792.29 : 14,696.64 = 5,117.58 : x
  2. Step 2: Convert to fraction form
    9,792.29/14,696.64 = 5,117.58/x
  3. Step 3: Cross multiply
    9,792.29x = 14,696.64 × 5,117.58
  4. Step 4: Simplify right side
    9,792.29x = 75,211,230.93
  5. Step 5: Solve for x
    x = 75,211,230.93/9,792.29
  6. Step 6: Final answer
    x = 7,680.66

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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.