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Finding the Fourth Proportional to 11,573.08, 15,970.87 and 6,399

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Solution

The fourth proportional to 11,573.08, 15,970.87 and 6,399 is: 8,830.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,573.08 : 15,970.87 = 6,399 : x
  2. Step 2: Convert to fraction form
    11,573.08/15,970.87 = 6,399/x
  3. Step 3: Cross multiply
    11,573.08x = 15,970.87 × 6,399
  4. Step 4: Simplify right side
    11,573.08x = 102,197,605.13
  5. Step 5: Solve for x
    x = 102,197,605.13/11,573.08
  6. Step 6: Final answer
    x = 8,830.63

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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.