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Finding the Fourth Proportional to 7,682.09, 10,601.01 and 4,698.05

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Solution

The fourth proportional to 7,682.09, 10,601.01 and 4,698.05 is: 6,483.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,682.09 : 10,601.01 = 4,698.05 : x
  2. Step 2: Convert to fraction form
    7,682.09/10,601.01 = 4,698.05/x
  3. Step 3: Cross multiply
    7,682.09x = 10,601.01 × 4,698.05
  4. Step 4: Simplify right side
    7,682.09x = 49,804,022.03
  5. Step 5: Solve for x
    x = 49,804,022.03/7,682.09
  6. Step 6: Final answer
    x = 6,483.14

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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.