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Finding the Fourth Proportional to 9,114.87, 12,533.08 and 7,786.20

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Solution

The fourth proportional to 9,114.87, 12,533.08 and 7,786.20 is: 10,706.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,114.87 : 12,533.08 = 7,786.20 : x
  2. Step 2: Convert to fraction form
    9,114.87/12,533.08 = 7,786.20/x
  3. Step 3: Cross multiply
    9,114.87x = 12,533.08 × 7,786.20
  4. Step 4: Simplify right side
    9,114.87x = 97,585,067.50
  5. Step 5: Solve for x
    x = 97,585,067.50/9,114.87
  6. Step 6: Final answer
    x = 10,706.14

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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.