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Finding the Fourth Proportional to 12,957.76, 17,881.32 and 7,292.82

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Solution

The fourth proportional to 12,957.76, 17,881.32 and 7,292.82 is: 10,063.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,957.76 : 17,881.32 = 7,292.82 : x
  2. Step 2: Convert to fraction form
    12,957.76/17,881.32 = 7,292.82/x
  3. Step 3: Cross multiply
    12,957.76x = 17,881.32 × 7,292.82
  4. Step 4: Simplify right side
    12,957.76x = 130,405,248.12
  5. Step 5: Solve for x
    x = 130,405,248.12/12,957.76
  6. Step 6: Final answer
    x = 10,063.87

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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.