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Finding the Fourth Proportional to 9,645.76, 13,322.08 and 6,496.48

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Solution

The fourth proportional to 9,645.76, 13,322.08 and 6,496.48 is: 8,972.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,645.76 : 13,322.08 = 6,496.48 : x
  2. Step 2: Convert to fraction form
    9,645.76/13,322.08 = 6,496.48/x
  3. Step 3: Cross multiply
    9,645.76x = 13,322.08 × 6,496.48
  4. Step 4: Simplify right side
    9,645.76x = 86,546,626.28
  5. Step 5: Solve for x
    x = 86,546,626.28/9,645.76
  6. Step 6: Final answer
    x = 8,972.50

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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.