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Finding the Fourth Proportional to 12,802.57, 19,200.97 and 4,594.57

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Solution

The fourth proportional to 12,802.57, 19,200.97 and 4,594.57 is: 6,890.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,802.57 : 19,200.97 = 4,594.57 : x
  2. Step 2: Convert to fraction form
    12,802.57/19,200.97 = 4,594.57/x
  3. Step 3: Cross multiply
    12,802.57x = 19,200.97 × 4,594.57
  4. Step 4: Simplify right side
    12,802.57x = 88,220,200.73
  5. Step 5: Solve for x
    x = 88,220,200.73/12,802.57
  6. Step 6: Final answer
    x = 6,890.82

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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.