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Finding the Fourth Proportional to 7,756.50, 10,700.19 and 4,610.46

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Solution

The fourth proportional to 7,756.50, 10,700.19 and 4,610.46 is: 6,360.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,756.50 : 10,700.19 = 4,610.46 : x
  2. Step 2: Convert to fraction form
    7,756.50/10,700.19 = 4,610.46/x
  3. Step 3: Cross multiply
    7,756.50x = 10,700.19 × 4,610.46
  4. Step 4: Simplify right side
    7,756.50x = 49,332,797.99
  5. Step 5: Solve for x
    x = 49,332,797.99/7,756.50
  6. Step 6: Final answer
    x = 6,360.19

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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.