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Finding the Fourth Proportional to 11,953.16, 17,926.09 and 9,607.60

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Solution

The fourth proportional to 11,953.16, 17,926.09 and 9,607.60 is: 14,408.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,953.16 : 17,926.09 = 9,607.60 : x
  2. Step 2: Convert to fraction form
    11,953.16/17,926.09 = 9,607.60/x
  3. Step 3: Cross multiply
    11,953.16x = 17,926.09 × 9,607.60
  4. Step 4: Simplify right side
    11,953.16x = 172,226,702.28
  5. Step 5: Solve for x
    x = 172,226,702.28/11,953.16
  6. Step 6: Final answer
    x = 14,408.47

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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.