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Finding the Fourth Proportional to 4,009.76, 6,014.18 and 1,087.84

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Solution

The fourth proportional to 4,009.76, 6,014.18 and 1,087.84 is: 1,631.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,009.76 : 6,014.18 = 1,087.84 : x
  2. Step 2: Convert to fraction form
    4,009.76/6,014.18 = 1,087.84/x
  3. Step 3: Cross multiply
    4,009.76x = 6,014.18 × 1,087.84
  4. Step 4: Simplify right side
    4,009.76x = 6,542,475.81
  5. Step 5: Solve for x
    x = 6,542,475.81/4,009.76
  6. Step 6: Final answer
    x = 1,631.64

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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.