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Finding the Fourth Proportional to 9,415.76, 12,994.26 and 5,224.10

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Solution

The fourth proportional to 9,415.76, 12,994.26 and 5,224.10 is: 7,209.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,415.76 : 12,994.26 = 5,224.10 : x
  2. Step 2: Convert to fraction form
    9,415.76/12,994.26 = 5,224.10/x
  3. Step 3: Cross multiply
    9,415.76x = 12,994.26 × 5,224.10
  4. Step 4: Simplify right side
    9,415.76x = 67,883,313.67
  5. Step 5: Solve for x
    x = 67,883,313.67/9,415.76
  6. Step 6: Final answer
    x = 7,209.54

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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.