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Finding the Fourth Proportional to 12,151.19, 16,768.64 and 6,562.19

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Solution

The fourth proportional to 12,151.19, 16,768.64 and 6,562.19 is: 9,055.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,151.19 : 16,768.64 = 6,562.19 : x
  2. Step 2: Convert to fraction form
    12,151.19/16,768.64 = 6,562.19/x
  3. Step 3: Cross multiply
    12,151.19x = 16,768.64 × 6,562.19
  4. Step 4: Simplify right side
    12,151.19x = 110,039,001.72
  5. Step 5: Solve for x
    x = 110,039,001.72/12,151.19
  6. Step 6: Final answer
    x = 9,055.82

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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.