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Finding the Fourth Proportional to 10,567.58, 14,571 and 8,571.92

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Solution

The fourth proportional to 10,567.58, 14,571 and 8,571.92 is: 11,819.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,567.58 : 14,571 = 8,571.92 : x
  2. Step 2: Convert to fraction form
    10,567.58/14,571 = 8,571.92/x
  3. Step 3: Cross multiply
    10,567.58x = 14,571 × 8,571.92
  4. Step 4: Simplify right side
    10,567.58x = 124,901,446.32
  5. Step 5: Solve for x
    x = 124,901,446.32/10,567.58
  6. Step 6: Final answer
    x = 11,819.30

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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.