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Finding the Fourth Proportional to 8,607.64, 11,881.14 and 7,441.24

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Solution

The fourth proportional to 8,607.64, 11,881.14 and 7,441.24 is: 10,271.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,607.64 : 11,881.14 = 7,441.24 : x
  2. Step 2: Convert to fraction form
    8,607.64/11,881.14 = 7,441.24/x
  3. Step 3: Cross multiply
    8,607.64x = 11,881.14 × 7,441.24
  4. Step 4: Simplify right side
    8,607.64x = 88,410,414.21
  5. Step 5: Solve for x
    x = 88,410,414.21/8,607.64
  6. Step 6: Final answer
    x = 10,271.16

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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.