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Finding the Fourth Proportional to 10,464.32, 14,448.48 and 6,933.44

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Solution

The fourth proportional to 10,464.32, 14,448.48 and 6,933.44 is: 9,573.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,464.32 : 14,448.48 = 6,933.44 : x
  2. Step 2: Convert to fraction form
    10,464.32/14,448.48 = 6,933.44/x
  3. Step 3: Cross multiply
    10,464.32x = 14,448.48 × 6,933.44
  4. Step 4: Simplify right side
    10,464.32x = 100,177,669.17
  5. Step 5: Solve for x
    x = 100,177,669.17/10,464.32
  6. Step 6: Final answer
    x = 9,573.26

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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.