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Finding the Fourth Proportional to 9,660.80, 13,564 and 9,660.80

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Solution

The fourth proportional to 9,660.80, 13,564 and 9,660.80 is: 13,564

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,660.80 : 13,564 = 9,660.80 : x
  2. Step 2: Convert to fraction form
    9,660.80/13,564 = 9,660.80/x
  3. Step 3: Cross multiply
    9,660.80x = 13,564 × 9,660.80
  4. Step 4: Simplify right side
    9,660.80x = 131,039,091.20
  5. Step 5: Solve for x
    x = 131,039,091.20/9,660.80
  6. Step 6: Final answer
    x = 13,564

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.