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Finding the Fourth Proportional to 9,415.84, 12,993.86 and 5,224.09

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Solution

The fourth proportional to 9,415.84, 12,993.86 and 5,224.09 is: 7,209.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,415.84 : 12,993.86 = 5,224.09 : x
  2. Step 2: Convert to fraction form
    9,415.84/12,993.86 = 5,224.09/x
  3. Step 3: Cross multiply
    9,415.84x = 12,993.86 × 5,224.09
  4. Step 4: Simplify right side
    9,415.84x = 67,881,094.09
  5. Step 5: Solve for x
    x = 67,881,094.09/9,415.84
  6. Step 6: Final answer
    x = 7,209.24

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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.