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Finding the Fourth Proportional to 11,574.77, 17,358.53 and 4,178.25

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Solution

The fourth proportional to 11,574.77, 17,358.53 and 4,178.25 is: 6,266.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,574.77 : 17,358.53 = 4,178.25 : x
  2. Step 2: Convert to fraction form
    11,574.77/17,358.53 = 4,178.25/x
  3. Step 3: Cross multiply
    11,574.77x = 17,358.53 × 4,178.25
  4. Step 4: Simplify right side
    11,574.77x = 72,528,257.08
  5. Step 5: Solve for x
    x = 72,528,257.08/11,574.77
  6. Step 6: Final answer
    x = 6,266.07

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1.5x scale

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.