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Finding the Fourth Proportional to 6,507.48, 9,761.22 and 3,904.68

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Solution

The fourth proportional to 6,507.48, 9,761.22 and 3,904.68 is: 5,857.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.48 : 9,761.22 = 3,904.68 : x
  2. Step 2: Convert to fraction form
    6,507.48/9,761.22 = 3,904.68/x
  3. Step 3: Cross multiply
    6,507.48x = 9,761.22 × 3,904.68
  4. Step 4: Simplify right side
    6,507.48x = 38,114,440.51
  5. Step 5: Solve for x
    x = 38,114,440.51/6,507.48
  6. Step 6: Final answer
    x = 5,857.02

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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.