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Finding the Fourth Proportional to 9,461.92, 13,060.48 and 5,922.88

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Solution

The fourth proportional to 9,461.92, 13,060.48 and 5,922.88 is: 8,175.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,461.92 : 13,060.48 = 5,922.88 : x
  2. Step 2: Convert to fraction form
    9,461.92/13,060.48 = 5,922.88/x
  3. Step 3: Cross multiply
    9,461.92x = 13,060.48 × 5,922.88
  4. Step 4: Simplify right side
    9,461.92x = 77,355,655.78
  5. Step 5: Solve for x
    x = 77,355,655.78/9,461.92
  6. Step 6: Final answer
    x = 8,175.47

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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.