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Finding the Fourth Proportional to 12,210, 16,849.84 and 7,494.24

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Solution

The fourth proportional to 12,210, 16,849.84 and 7,494.24 is: 10,342.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,210 : 16,849.84 = 7,494.24 : x
  2. Step 2: Convert to fraction form
    12,210/16,849.84 = 7,494.24/x
  3. Step 3: Cross multiply
    12,210x = 16,849.84 × 7,494.24
  4. Step 4: Simplify right side
    12,210x = 126,276,744.92
  5. Step 5: Solve for x
    x = 126,276,744.92/12,210
  6. Step 6: Final answer
    x = 10,342.08

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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.