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Finding the Fourth Proportional to 12,357.63, 17,053.82 and 7,052.94

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Solution

The fourth proportional to 12,357.63, 17,053.82 and 7,052.94 is: 9,733.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,357.63 : 17,053.82 = 7,052.94 : x
  2. Step 2: Convert to fraction form
    12,357.63/17,053.82 = 7,052.94/x
  3. Step 3: Cross multiply
    12,357.63x = 17,053.82 × 7,052.94
  4. Step 4: Simplify right side
    12,357.63x = 120,279,533.97
  5. Step 5: Solve for x
    x = 120,279,533.97/12,357.63
  6. Step 6: Final answer
    x = 9,733.22

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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.