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Finding the Fourth Proportional to 7,750.08, 10,695.68 and 4,438.08

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Solution

The fourth proportional to 7,750.08, 10,695.68 and 4,438.08 is: 6,124.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,750.08 : 10,695.68 = 4,438.08 : x
  2. Step 2: Convert to fraction form
    7,750.08/10,695.68 = 4,438.08/x
  3. Step 3: Cross multiply
    7,750.08x = 10,695.68 × 4,438.08
  4. Step 4: Simplify right side
    7,750.08x = 47,468,283.49
  5. Step 5: Solve for x
    x = 47,468,283.49/7,750.08
  6. Step 6: Final answer
    x = 6,124.88

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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.