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Finding the Fourth Proportional to 7,655.36, 11,465.92 and 6,655.36

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Solution

The fourth proportional to 7,655.36, 11,465.92 and 6,655.36 is: 9,968.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,655.36 : 11,465.92 = 6,655.36 : x
  2. Step 2: Convert to fraction form
    7,655.36/11,465.92 = 6,655.36/x
  3. Step 3: Cross multiply
    7,655.36x = 11,465.92 × 6,655.36
  4. Step 4: Simplify right side
    7,655.36x = 76,309,825.33
  5. Step 5: Solve for x
    x = 76,309,825.33/7,655.36
  6. Step 6: Final answer
    x = 9,968.16

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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.