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Finding the Fourth Proportional to 12,785.94, 17,646.21 and 7,750.98

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Solution

The fourth proportional to 12,785.94, 17,646.21 and 7,750.98 is: 10,697.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,785.94 : 17,646.21 = 7,750.98 : x
  2. Step 2: Convert to fraction form
    12,785.94/17,646.21 = 7,750.98/x
  3. Step 3: Cross multiply
    12,785.94x = 17,646.21 × 7,750.98
  4. Step 4: Simplify right side
    12,785.94x = 136,775,420.79
  5. Step 5: Solve for x
    x = 136,775,420.79/12,785.94
  6. Step 6: Final answer
    x = 10,697.33

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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.