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Finding the Fourth Proportional to 4,065.23, 6,097.84 and 987.23

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Solution

The fourth proportional to 4,065.23, 6,097.84 and 987.23 is: 1,480.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,065.23 : 6,097.84 = 987.23 : x
  2. Step 2: Convert to fraction form
    4,065.23/6,097.84 = 987.23/x
  3. Step 3: Cross multiply
    4,065.23x = 6,097.84 × 987.23
  4. Step 4: Simplify right side
    4,065.23x = 6,019,983.36
  5. Step 5: Solve for x
    x = 6,019,983.36/4,065.23
  6. Step 6: Final answer
    x = 1,480.85

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Similar ratio
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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.