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Finding the Fourth Proportional to 6,842.64, 10,262.16 and 2,459.28

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Solution

The fourth proportional to 6,842.64, 10,262.16 and 2,459.28 is: 3,688.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.64 : 10,262.16 = 2,459.28 : x
  2. Step 2: Convert to fraction form
    6,842.64/10,262.16 = 2,459.28/x
  3. Step 3: Cross multiply
    6,842.64x = 10,262.16 × 2,459.28
  4. Step 4: Simplify right side
    6,842.64x = 25,237,524.84
  5. Step 5: Solve for x
    x = 25,237,524.84/6,842.64
  6. Step 6: Final answer
    x = 3,688.27

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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.