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Finding the Fourth Proportional to 6,001.48, 8,282.07 and 3,349

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Solution

The fourth proportional to 6,001.48, 8,282.07 and 3,349 is: 4,621.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,001.48 : 8,282.07 = 3,349 : x
  2. Step 2: Convert to fraction form
    6,001.48/8,282.07 = 3,349/x
  3. Step 3: Cross multiply
    6,001.48x = 8,282.07 × 3,349
  4. Step 4: Simplify right side
    6,001.48x = 27,736,652.43
  5. Step 5: Solve for x
    x = 27,736,652.43/6,001.48
  6. Step 6: Final answer
    x = 4,621.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.