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Finding the Fourth Proportional to 12,240.65, 16,884.19 and 8,410.46

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Solution

The fourth proportional to 12,240.65, 16,884.19 and 8,410.46 is: 11,601.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,240.65 : 16,884.19 = 8,410.46 : x
  2. Step 2: Convert to fraction form
    12,240.65/16,884.19 = 8,410.46/x
  3. Step 3: Cross multiply
    12,240.65x = 16,884.19 × 8,410.46
  4. Step 4: Simplify right side
    12,240.65x = 142,003,804.63
  5. Step 5: Solve for x
    x = 142,003,804.63/12,240.65
  6. Step 6: Final answer
    x = 11,601.00

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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.