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Finding the Fourth Proportional to 7,750.58, 10,695.77 and 4,213.80

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Solution

The fourth proportional to 7,750.58, 10,695.77 and 4,213.80 is: 5,815.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,750.58 : 10,695.77 = 4,213.80 : x
  2. Step 2: Convert to fraction form
    7,750.58/10,695.77 = 4,213.80/x
  3. Step 3: Cross multiply
    7,750.58x = 10,695.77 × 4,213.80
  4. Step 4: Simplify right side
    7,750.58x = 45,069,835.63
  5. Step 5: Solve for x
    x = 45,069,835.63/7,750.58
  6. Step 6: Final answer
    x = 5,815.03

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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.