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Finding the Fourth Proportional to 4,416, 6,093.95 and 2,426.51

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Solution

The fourth proportional to 4,416, 6,093.95 and 2,426.51 is: 3,348.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,416 : 6,093.95 = 2,426.51 : x
  2. Step 2: Convert to fraction form
    4,416/6,093.95 = 2,426.51/x
  3. Step 3: Cross multiply
    4,416x = 6,093.95 × 2,426.51
  4. Step 4: Simplify right side
    4,416x = 14,786,988.01
  5. Step 5: Solve for x
    x = 14,786,988.01/4,416
  6. Step 6: Final answer
    x = 3,348.50

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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.