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Finding the Fourth Proportional to 7,754.30, 10,700.94 and 4,217.51

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Solution

The fourth proportional to 7,754.30, 10,700.94 and 4,217.51 is: 5,820.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,754.30 : 10,700.94 = 4,217.51 : x
  2. Step 2: Convert to fraction form
    7,754.30/10,700.94 = 4,217.51/x
  3. Step 3: Cross multiply
    7,754.30x = 10,700.94 × 4,217.51
  4. Step 4: Simplify right side
    7,754.30x = 45,131,267.95
  5. Step 5: Solve for x
    x = 45,131,267.95/7,754.30
  6. Step 6: Final answer
    x = 5,820.16

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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.