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Finding the Fourth Proportional to 11,304.60, 15,583.96 and 7,937.16

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Solution

The fourth proportional to 11,304.60, 15,583.96 and 7,937.16 is: 10,941.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,304.60 : 15,583.96 = 7,937.16 : x
  2. Step 2: Convert to fraction form
    11,304.60/15,583.96 = 7,937.16/x
  3. Step 3: Cross multiply
    11,304.60x = 15,583.96 × 7,937.16
  4. Step 4: Simplify right side
    11,304.60x = 123,692,383.95
  5. Step 5: Solve for x
    x = 123,692,383.95/11,304.60
  6. Step 6: Final answer
    x = 10,941.77

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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.