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Finding the Fourth Proportional to 4,065.45, 6,098.16 and 987.45

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Solution

The fourth proportional to 4,065.45, 6,098.16 and 987.45 is: 1,481.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,065.45 : 6,098.16 = 987.45 : x
  2. Step 2: Convert to fraction form
    4,065.45/6,098.16 = 987.45/x
  3. Step 3: Cross multiply
    4,065.45x = 6,098.16 × 987.45
  4. Step 4: Simplify right side
    4,065.45x = 6,021,628.09
  5. Step 5: Solve for x
    x = 6,021,628.09/4,065.45
  6. Step 6: Final answer
    x = 1,481.17

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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.