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Finding the Fourth Proportional to 12,322.68, 17,005.14 and 6,733.32

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Solution

The fourth proportional to 12,322.68, 17,005.14 and 6,733.32 is: 9,291.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,322.68 : 17,005.14 = 6,733.32 : x
  2. Step 2: Convert to fraction form
    12,322.68/17,005.14 = 6,733.32/x
  3. Step 3: Cross multiply
    12,322.68x = 17,005.14 × 6,733.32
  4. Step 4: Simplify right side
    12,322.68x = 114,501,049.26
  5. Step 5: Solve for x
    x = 114,501,049.26/12,322.68
  6. Step 6: Final answer
    x = 9,291.90

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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.