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Finding the Fourth Proportional to 9,772.31, 13,496.93 and 6,623.03

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Solution

The fourth proportional to 9,772.31, 13,496.93 and 6,623.03 is: 9,147.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,772.31 : 13,496.93 = 6,623.03 : x
  2. Step 2: Convert to fraction form
    9,772.31/13,496.93 = 6,623.03/x
  3. Step 3: Cross multiply
    9,772.31x = 13,496.93 × 6,623.03
  4. Step 4: Simplify right side
    9,772.31x = 89,390,597.76
  5. Step 5: Solve for x
    x = 89,390,597.76/9,772.31
  6. Step 6: Final answer
    x = 9,147.33

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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.