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Finding the Fourth Proportional to 7,094.16, 10,639.08 and 4,014

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Solution

The fourth proportional to 7,094.16, 10,639.08 and 4,014 is: 6,019.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,094.16 : 10,639.08 = 4,014 : x
  2. Step 2: Convert to fraction form
    7,094.16/10,639.08 = 4,014/x
  3. Step 3: Cross multiply
    7,094.16x = 10,639.08 × 4,014
  4. Step 4: Simplify right side
    7,094.16x = 42,705,267.12
  5. Step 5: Solve for x
    x = 42,705,267.12/7,094.16
  6. Step 6: Final answer
    x = 6,019.78

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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.