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Finding the Fourth Proportional to 10,005.76, 13,797.57 and 8,594.11

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Solution

The fourth proportional to 10,005.76, 13,797.57 and 8,594.11 is: 11,850.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,005.76 : 13,797.57 = 8,594.11 : x
  2. Step 2: Convert to fraction form
    10,005.76/13,797.57 = 8,594.11/x
  3. Step 3: Cross multiply
    10,005.76x = 13,797.57 × 8,594.11
  4. Step 4: Simplify right side
    10,005.76x = 118,577,834.31
  5. Step 5: Solve for x
    x = 118,577,834.31/10,005.76
  6. Step 6: Final answer
    x = 11,850.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.