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Finding the Fourth Proportional to 7,570.84, 10,447.68 and 4,426.42

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Solution

The fourth proportional to 7,570.84, 10,447.68 and 4,426.42 is: 6,108.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,570.84 : 10,447.68 = 4,426.42 : x
  2. Step 2: Convert to fraction form
    7,570.84/10,447.68 = 4,426.42/x
  3. Step 3: Cross multiply
    7,570.84x = 10,447.68 × 4,426.42
  4. Step 4: Simplify right side
    7,570.84x = 46,245,819.71
  5. Step 5: Solve for x
    x = 46,245,819.71/7,570.84
  6. Step 6: Final answer
    x = 6,108.41

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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.