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Finding the Fourth Proportional to 11,616.21, 17,424.05 and 5,047.11

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Solution

The fourth proportional to 11,616.21, 17,424.05 and 5,047.11 is: 7,570.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,616.21 : 17,424.05 = 5,047.11 : x
  2. Step 2: Convert to fraction form
    11,616.21/17,424.05 = 5,047.11/x
  3. Step 3: Cross multiply
    11,616.21x = 17,424.05 × 5,047.11
  4. Step 4: Simplify right side
    11,616.21x = 87,941,071.76
  5. Step 5: Solve for x
    x = 87,941,071.76/11,616.21
  6. Step 6: Final answer
    x = 7,570.55

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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.