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Finding the Fourth Proportional to 7,735.96, 10,696.64 and 7,610.92

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Solution

The fourth proportional to 7,735.96, 10,696.64 and 7,610.92 is: 10,523.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,735.96 : 10,696.64 = 7,610.92 : x
  2. Step 2: Convert to fraction form
    7,735.96/10,696.64 = 7,610.92/x
  3. Step 3: Cross multiply
    7,735.96x = 10,696.64 × 7,610.92
  4. Step 4: Simplify right side
    7,735.96x = 81,411,271.31
  5. Step 5: Solve for x
    x = 81,411,271.31/7,735.96
  6. Step 6: Final answer
    x = 10,523.75

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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.