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Finding the Fourth Proportional to 9,415.20, 12,980.16 and 6,544.20

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Solution

The fourth proportional to 9,415.20, 12,980.16 and 6,544.20 is: 9,022.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,415.20 : 12,980.16 = 6,544.20 : x
  2. Step 2: Convert to fraction form
    9,415.20/12,980.16 = 6,544.20/x
  3. Step 3: Cross multiply
    9,415.20x = 12,980.16 × 6,544.20
  4. Step 4: Simplify right side
    9,415.20x = 84,944,763.07
  5. Step 5: Solve for x
    x = 84,944,763.07/9,415.20
  6. Step 6: Final answer
    x = 9,022.09

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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.