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Finding the Fourth Proportional to 9,696.94, 13,381.77 and 5,280.94

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Solution

The fourth proportional to 9,696.94, 13,381.77 and 5,280.94 is: 7,287.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,696.94 : 13,381.77 = 5,280.94 : x
  2. Step 2: Convert to fraction form
    9,696.94/13,381.77 = 5,280.94/x
  3. Step 3: Cross multiply
    9,696.94x = 13,381.77 × 5,280.94
  4. Step 4: Simplify right side
    9,696.94x = 70,668,310.81
  5. Step 5: Solve for x
    x = 70,668,310.81/9,696.94
  6. Step 6: Final answer
    x = 7,287.69

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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.