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Finding the Fourth Proportional to 7,750.70, 10,695.15 and 4,606.46

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Solution

The fourth proportional to 7,750.70, 10,695.15 and 4,606.46 is: 6,356.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,750.70 : 10,695.15 = 4,606.46 : x
  2. Step 2: Convert to fraction form
    7,750.70/10,695.15 = 4,606.46/x
  3. Step 3: Cross multiply
    7,750.70x = 10,695.15 × 4,606.46
  4. Step 4: Simplify right side
    7,750.70x = 49,266,780.67
  5. Step 5: Solve for x
    x = 49,266,780.67/7,750.70
  6. Step 6: Final answer
    x = 6,356.43

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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.