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Finding the Fourth Proportional to 7,646.32, 11,448.06 and 6,232.24

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Solution

The fourth proportional to 7,646.32, 11,448.06 and 6,232.24 is: 9,330.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,646.32 : 11,448.06 = 6,232.24 : x
  2. Step 2: Convert to fraction form
    7,646.32/11,448.06 = 6,232.24/x
  3. Step 3: Cross multiply
    7,646.32x = 11,448.06 × 6,232.24
  4. Step 4: Simplify right side
    7,646.32x = 71,347,057.45
  5. Step 5: Solve for x
    x = 71,347,057.45/7,646.32
  6. Step 6: Final answer
    x = 9,330.90

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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.