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Finding the Fourth Proportional to 9,158.97, 13,730.96 and 7,594.05

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Solution

The fourth proportional to 9,158.97, 13,730.96 and 7,594.05 is: 11,384.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,158.97 : 13,730.96 = 7,594.05 : x
  2. Step 2: Convert to fraction form
    9,158.97/13,730.96 = 7,594.05/x
  3. Step 3: Cross multiply
    9,158.97x = 13,730.96 × 7,594.05
  4. Step 4: Simplify right side
    9,158.97x = 104,273,558.82
  5. Step 5: Solve for x
    x = 104,273,558.82/9,158.97
  6. Step 6: Final answer
    x = 11,384.86

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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.