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Finding the Fourth Proportional to 11,283, 15,570.66 and 6,247.32

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Solution

The fourth proportional to 11,283, 15,570.66 and 6,247.32 is: 8,621.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,283 : 15,570.66 = 6,247.32 : x
  2. Step 2: Convert to fraction form
    11,283/15,570.66 = 6,247.32/x
  3. Step 3: Cross multiply
    11,283x = 15,570.66 × 6,247.32
  4. Step 4: Simplify right side
    11,283x = 97,274,895.63
  5. Step 5: Solve for x
    x = 97,274,895.63/11,283
  6. Step 6: Final answer
    x = 8,621.37

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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.