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Finding the Fourth Proportional to 11,574, 17,357.40 and 4,177.49

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Solution

The fourth proportional to 11,574, 17,357.40 and 4,177.49 is: 6,264.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,574 : 17,357.40 = 4,177.49 : x
  2. Step 2: Convert to fraction form
    11,574/17,357.40 = 4,177.49/x
  3. Step 3: Cross multiply
    11,574x = 17,357.40 × 4,177.49
  4. Step 4: Simplify right side
    11,574x = 72,510,364.93
  5. Step 5: Solve for x
    x = 72,510,364.93/11,574
  6. Step 6: Final answer
    x = 6,264.94

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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.