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Finding the Fourth Proportional to 11,573.11, 15,970.94 and 6,267.93

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Solution

The fourth proportional to 11,573.11, 15,970.94 and 6,267.93 is: 8,649.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,573.11 : 15,970.94 = 6,267.93 : x
  2. Step 2: Convert to fraction form
    11,573.11/15,970.94 = 6,267.93/x
  3. Step 3: Cross multiply
    11,573.11x = 15,970.94 × 6,267.93
  4. Step 4: Simplify right side
    11,573.11x = 100,104,756.06
  5. Step 5: Solve for x
    x = 100,104,756.06/11,573.11
  6. Step 6: Final answer
    x = 8,649.77

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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.