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Finding the Fourth Proportional to 9,735, 13,436.40 and 6,197.46

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Solution

The fourth proportional to 9,735, 13,436.40 and 6,197.46 is: 8,553.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,735 : 13,436.40 = 6,197.46 : x
  2. Step 2: Convert to fraction form
    9,735/13,436.40 = 6,197.46/x
  3. Step 3: Cross multiply
    9,735x = 13,436.40 × 6,197.46
  4. Step 4: Simplify right side
    9,735x = 83,271,551.54
  5. Step 5: Solve for x
    x = 83,271,551.54/9,735
  6. Step 6: Final answer
    x = 8,553.83

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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.