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Finding the Fourth Proportional to 6,888.50, 10,332.76 and 2,271.50

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Solution

The fourth proportional to 6,888.50, 10,332.76 and 2,271.50 is: 3,407.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,888.50 : 10,332.76 = 2,271.50 : x
  2. Step 2: Convert to fraction form
    6,888.50/10,332.76 = 2,271.50/x
  3. Step 3: Cross multiply
    6,888.50x = 10,332.76 × 2,271.50
  4. Step 4: Simplify right side
    6,888.50x = 23,470,852.98
  5. Step 5: Solve for x
    x = 23,470,852.98/6,888.50
  6. Step 6: Final answer
    x = 3,407.25

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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.