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Finding the Fourth Proportional to 11,530.12, 17,284.94 and 4,229

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Solution

The fourth proportional to 11,530.12, 17,284.94 and 4,229 is: 6,339.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,530.12 : 17,284.94 = 4,229 : x
  2. Step 2: Convert to fraction form
    11,530.12/17,284.94 = 4,229/x
  3. Step 3: Cross multiply
    11,530.12x = 17,284.94 × 4,229
  4. Step 4: Simplify right side
    11,530.12x = 73,098,011.26
  5. Step 5: Solve for x
    x = 73,098,011.26/11,530.12
  6. Step 6: Final answer
    x = 6,339.74

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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.