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Finding the Fourth Proportional to 9,523, 13,141.74 and 5,797

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Solution

The fourth proportional to 9,523, 13,141.74 and 5,797 is: 7,999.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,523 : 13,141.74 = 5,797 : x
  2. Step 2: Convert to fraction form
    9,523/13,141.74 = 5,797/x
  3. Step 3: Cross multiply
    9,523x = 13,141.74 × 5,797
  4. Step 4: Simplify right side
    9,523x = 76,182,666.78
  5. Step 5: Solve for x
    x = 76,182,666.78/9,523
  6. Step 6: Final answer
    x = 7,999.86

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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.