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Finding the Fourth Proportional to 12,733.47, 17,571.74 and 7,068.47

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Solution

The fourth proportional to 12,733.47, 17,571.74 and 7,068.47 is: 9,754.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,733.47 : 17,571.74 = 7,068.47 : x
  2. Step 2: Convert to fraction form
    12,733.47/17,571.74 = 7,068.47/x
  3. Step 3: Cross multiply
    12,733.47x = 17,571.74 × 7,068.47
  4. Step 4: Simplify right side
    12,733.47x = 124,205,193.84
  5. Step 5: Solve for x
    x = 124,205,193.84/12,733.47
  6. Step 6: Final answer
    x = 9,754.23

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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.