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Finding the Fourth Proportional to 7,788.09, 10,744.80 and 4,600.70

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Solution

The fourth proportional to 7,788.09, 10,744.80 and 4,600.70 is: 6,347.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,788.09 : 10,744.80 = 4,600.70 : x
  2. Step 2: Convert to fraction form
    7,788.09/10,744.80 = 4,600.70/x
  3. Step 3: Cross multiply
    7,788.09x = 10,744.80 × 4,600.70
  4. Step 4: Simplify right side
    7,788.09x = 49,433,628.22
  5. Step 5: Solve for x
    x = 49,433,628.22/7,788.09
  6. Step 6: Final answer
    x = 6,347.34

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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.