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Finding the Fourth Proportional to 9,696.96, 13,373.64 and 7,925.49

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Solution

The fourth proportional to 9,696.96, 13,373.64 and 7,925.49 is: 10,930.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,696.96 : 13,373.64 = 7,925.49 : x
  2. Step 2: Convert to fraction form
    9,696.96/13,373.64 = 7,925.49/x
  3. Step 3: Cross multiply
    9,696.96x = 13,373.64 × 7,925.49
  4. Step 4: Simplify right side
    9,696.96x = 105,992,650.08
  5. Step 5: Solve for x
    x = 105,992,650.08/9,696.96
  6. Step 6: Final answer
    x = 10,930.50

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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.