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Finding the Fourth Proportional to 7,078.32, 10,617.50 and 2,148

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Solution

The fourth proportional to 7,078.32, 10,617.50 and 2,148 is: 3,222.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,078.32 : 10,617.50 = 2,148 : x
  2. Step 2: Convert to fraction form
    7,078.32/10,617.50 = 2,148/x
  3. Step 3: Cross multiply
    7,078.32x = 10,617.50 × 2,148
  4. Step 4: Simplify right side
    7,078.32x = 22,806,390
  5. Step 5: Solve for x
    x = 22,806,390/7,078.32
  6. Step 6: Final answer
    x = 3,222.01

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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.