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Finding the Fourth Proportional to 11,653.29, 17,455.28 and 9,422.55

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Solution

The fourth proportional to 11,653.29, 17,455.28 and 9,422.55 is: 14,113.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,653.29 : 17,455.28 = 9,422.55 : x
  2. Step 2: Convert to fraction form
    11,653.29/17,455.28 = 9,422.55/x
  3. Step 3: Cross multiply
    11,653.29x = 17,455.28 × 9,422.55
  4. Step 4: Simplify right side
    11,653.29x = 164,473,248.56
  5. Step 5: Solve for x
    x = 164,473,248.56/11,653.29
  6. Step 6: Final answer
    x = 14,113.89

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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.