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Finding the Fourth Proportional to 6,497.54, 9,739.32 and 2,801.51

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Solution

The fourth proportional to 6,497.54, 9,739.32 and 2,801.51 is: 4,199.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497.54 : 9,739.32 = 2,801.51 : x
  2. Step 2: Convert to fraction form
    6,497.54/9,739.32 = 2,801.51/x
  3. Step 3: Cross multiply
    6,497.54x = 9,739.32 × 2,801.51
  4. Step 4: Simplify right side
    6,497.54x = 27,284,802.37
  5. Step 5: Solve for x
    x = 27,284,802.37/6,497.54
  6. Step 6: Final answer
    x = 4,199.25

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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.