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Finding the Fourth Proportional to 8,070.94, 12,035.79 and 7,997.13

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Solution

The fourth proportional to 8,070.94, 12,035.79 and 7,997.13 is: 11,925.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,070.94 : 12,035.79 = 7,997.13 : x
  2. Step 2: Convert to fraction form
    8,070.94/12,035.79 = 7,997.13/x
  3. Step 3: Cross multiply
    8,070.94x = 12,035.79 × 7,997.13
  4. Step 4: Simplify right side
    8,070.94x = 96,251,777.28
  5. Step 5: Solve for x
    x = 96,251,777.28/8,070.94
  6. Step 6: Final answer
    x = 11,925.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.