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Finding the Fourth Proportional to 11,461.70, 17,192.55 and 5,629.70

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Solution

The fourth proportional to 11,461.70, 17,192.55 and 5,629.70 is: 8,444.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,461.70 : 17,192.55 = 5,629.70 : x
  2. Step 2: Convert to fraction form
    11,461.70/17,192.55 = 5,629.70/x
  3. Step 3: Cross multiply
    11,461.70x = 17,192.55 × 5,629.70
  4. Step 4: Simplify right side
    11,461.70x = 96,788,898.74
  5. Step 5: Solve for x
    x = 96,788,898.74/11,461.70
  6. Step 6: Final answer
    x = 8,444.55

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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.