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Finding the Fourth Proportional to 7,206.80, 9,933.72 and 7,109.60

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Solution

The fourth proportional to 7,206.80, 9,933.72 and 7,109.60 is: 9,799.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,206.80 : 9,933.72 = 7,109.60 : x
  2. Step 2: Convert to fraction form
    7,206.80/9,933.72 = 7,109.60/x
  3. Step 3: Cross multiply
    7,206.80x = 9,933.72 × 7,109.60
  4. Step 4: Simplify right side
    7,206.80x = 70,624,775.71
  5. Step 5: Solve for x
    x = 70,624,775.71/7,206.80
  6. Step 6: Final answer
    x = 9,799.74

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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.