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Finding the Fourth Proportional to 6,499.64, 9,754.93 and 2,804.68

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Solution

The fourth proportional to 6,499.64, 9,754.93 and 2,804.68 is: 4,209.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,499.64 : 9,754.93 = 2,804.68 : x
  2. Step 2: Convert to fraction form
    6,499.64/9,754.93 = 2,804.68/x
  3. Step 3: Cross multiply
    6,499.64x = 9,754.93 × 2,804.68
  4. Step 4: Simplify right side
    6,499.64x = 27,359,417.90
  5. Step 5: Solve for x
    x = 27,359,417.90/6,499.64
  6. Step 6: Final answer
    x = 4,209.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.