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Finding the Fourth Proportional to 9,792.70, 13,506.94 and 6,916.80

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Solution

The fourth proportional to 9,792.70, 13,506.94 and 6,916.80 is: 9,540.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,792.70 : 13,506.94 = 6,916.80 : x
  2. Step 2: Convert to fraction form
    9,792.70/13,506.94 = 6,916.80/x
  3. Step 3: Cross multiply
    9,792.70x = 13,506.94 × 6,916.80
  4. Step 4: Simplify right side
    9,792.70x = 93,424,802.59
  5. Step 5: Solve for x
    x = 93,424,802.59/9,792.70
  6. Step 6: Final answer
    x = 9,540.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.