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Finding the Fourth Proportional to 12,782.90, 17,639.97 and 7,192.82

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Solution

The fourth proportional to 12,782.90, 17,639.97 and 7,192.82 is: 9,925.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,782.90 : 17,639.97 = 7,192.82 : x
  2. Step 2: Convert to fraction form
    12,782.90/17,639.97 = 7,192.82/x
  3. Step 3: Cross multiply
    12,782.90x = 17,639.97 × 7,192.82
  4. Step 4: Simplify right side
    12,782.90x = 126,881,129.02
  5. Step 5: Solve for x
    x = 126,881,129.02/12,782.90
  6. Step 6: Final answer
    x = 9,925.85

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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.