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Finding the Fourth Proportional to 9,615.32, 13,264.08 and 6,077.24

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Solution

The fourth proportional to 9,615.32, 13,264.08 and 6,077.24 is: 8,383.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,615.32 : 13,264.08 = 6,077.24 : x
  2. Step 2: Convert to fraction form
    9,615.32/13,264.08 = 6,077.24/x
  3. Step 3: Cross multiply
    9,615.32x = 13,264.08 × 6,077.24
  4. Step 4: Simplify right side
    9,615.32x = 80,608,997.54
  5. Step 5: Solve for x
    x = 80,608,997.54/9,615.32
  6. Step 6: Final answer
    x = 8,383.39

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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.