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Finding the Fourth Proportional to 12,737.66, 17,577.69 and 7,433

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Solution

The fourth proportional to 12,737.66, 17,577.69 and 7,433 is: 10,257.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,737.66 : 17,577.69 = 7,433 : x
  2. Step 2: Convert to fraction form
    12,737.66/17,577.69 = 7,433/x
  3. Step 3: Cross multiply
    12,737.66x = 17,577.69 × 7,433
  4. Step 4: Simplify right side
    12,737.66x = 130,654,969.77
  5. Step 5: Solve for x
    x = 130,654,969.77/12,737.66
  6. Step 6: Final answer
    x = 10,257.38

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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.