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Finding the Fourth Proportional to 12,592.86, 17,373.93 and 7,285.74

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Solution

The fourth proportional to 12,592.86, 17,373.93 and 7,285.74 is: 10,051.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,592.86 : 17,373.93 = 7,285.74 : x
  2. Step 2: Convert to fraction form
    12,592.86/17,373.93 = 7,285.74/x
  3. Step 3: Cross multiply
    12,592.86x = 17,373.93 × 7,285.74
  4. Step 4: Simplify right side
    12,592.86x = 126,581,936.76
  5. Step 5: Solve for x
    x = 126,581,936.76/12,592.86
  6. Step 6: Final answer
    x = 10,051.88

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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.