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Finding the Fourth Proportional to 7,686.84, 11,525.16 and 3,007.32

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Solution

The fourth proportional to 7,686.84, 11,525.16 and 3,007.32 is: 4,508.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,686.84 : 11,525.16 = 3,007.32 : x
  2. Step 2: Convert to fraction form
    7,686.84/11,525.16 = 3,007.32/x
  3. Step 3: Cross multiply
    7,686.84x = 11,525.16 × 3,007.32
  4. Step 4: Simplify right side
    7,686.84x = 34,659,844.17
  5. Step 5: Solve for x
    x = 34,659,844.17/7,686.84
  6. Step 6: Final answer
    x = 4,508.98

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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.