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Finding the Fourth Proportional to 12,598.92, 17,386.16 and 7,293.83

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Solution

The fourth proportional to 12,598.92, 17,386.16 and 7,293.83 is: 10,065.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,598.92 : 17,386.16 = 7,293.83 : x
  2. Step 2: Convert to fraction form
    12,598.92/17,386.16 = 7,293.83/x
  3. Step 3: Cross multiply
    12,598.92x = 17,386.16 × 7,293.83
  4. Step 4: Simplify right side
    12,598.92x = 126,811,571.99
  5. Step 5: Solve for x
    x = 126,811,571.99/12,598.92
  6. Step 6: Final answer
    x = 10,065.27

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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.