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Finding the Fourth Proportional to 11,216.94, 15,482.13 and 6,503.97

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Solution

The fourth proportional to 11,216.94, 15,482.13 and 6,503.97 is: 8,977.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,216.94 : 15,482.13 = 6,503.97 : x
  2. Step 2: Convert to fraction form
    11,216.94/15,482.13 = 6,503.97/x
  3. Step 3: Cross multiply
    11,216.94x = 15,482.13 × 6,503.97
  4. Step 4: Simplify right side
    11,216.94x = 100,695,309.06
  5. Step 5: Solve for x
    x = 100,695,309.06/11,216.94
  6. Step 6: Final answer
    x = 8,977.07

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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.