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Finding the Fourth Proportional to 11,901.97, 17,847.10 and 4,880.08

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Solution

The fourth proportional to 11,901.97, 17,847.10 and 4,880.08 is: 7,317.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,901.97 : 17,847.10 = 4,880.08 : x
  2. Step 2: Convert to fraction form
    11,901.97/17,847.10 = 4,880.08/x
  3. Step 3: Cross multiply
    11,901.97x = 17,847.10 × 4,880.08
  4. Step 4: Simplify right side
    11,901.97x = 87,095,275.77
  5. Step 5: Solve for x
    x = 87,095,275.77/11,901.97
  6. Step 6: Final answer
    x = 7,317.72

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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.