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Finding the Fourth Proportional to 8,465.02, 11,704.02 and 7,414.07

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Solution

The fourth proportional to 8,465.02, 11,704.02 and 7,414.07 is: 10,250.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,465.02 : 11,704.02 = 7,414.07 : x
  2. Step 2: Convert to fraction form
    8,465.02/11,704.02 = 7,414.07/x
  3. Step 3: Cross multiply
    8,465.02x = 11,704.02 × 7,414.07
  4. Step 4: Simplify right side
    8,465.02x = 86,774,337.24
  5. Step 5: Solve for x
    x = 86,774,337.24/8,465.02
  6. Step 6: Final answer
    x = 10,250.93

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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.