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Finding the Fourth Proportional to 12,187.51, 16,818.78 and 6,598.51

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Solution

The fourth proportional to 12,187.51, 16,818.78 and 6,598.51 is: 9,105.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,187.51 : 16,818.78 = 6,598.51 : x
  2. Step 2: Convert to fraction form
    12,187.51/16,818.78 = 6,598.51/x
  3. Step 3: Cross multiply
    12,187.51x = 16,818.78 × 6,598.51
  4. Step 4: Simplify right side
    12,187.51x = 110,978,888.02
  5. Step 5: Solve for x
    x = 110,978,888.02/12,187.51
  6. Step 6: Final answer
    x = 9,105.95

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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.