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Finding the Fourth Proportional to 6,346.84, 9,523.74 and 2,648.32

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Solution

The fourth proportional to 6,346.84, 9,523.74 and 2,648.32 is: 3,973.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,346.84 : 9,523.74 = 2,648.32 : x
  2. Step 2: Convert to fraction form
    6,346.84/9,523.74 = 2,648.32/x
  3. Step 3: Cross multiply
    6,346.84x = 9,523.74 × 2,648.32
  4. Step 4: Simplify right side
    6,346.84x = 25,221,911.12
  5. Step 5: Solve for x
    x = 25,221,911.12/6,346.84
  6. Step 6: Final answer
    x = 3,973.93

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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.