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Finding the Fourth Proportional to 6,880, 10,315.98 and 2,715.16

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Solution

The fourth proportional to 6,880, 10,315.98 and 2,715.16 is: 4,071.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,880 : 10,315.98 = 2,715.16 : x
  2. Step 2: Convert to fraction form
    6,880/10,315.98 = 2,715.16/x
  3. Step 3: Cross multiply
    6,880x = 10,315.98 × 2,715.16
  4. Step 4: Simplify right side
    6,880x = 28,009,536.26
  5. Step 5: Solve for x
    x = 28,009,536.26/6,880
  6. Step 6: Final answer
    x = 4,071.15

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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.